(172507+56736):(350-347)= 500+(1600-3×100)×10= 940-(459:3+209)+(112×2)=

Let's solve each of the expressions step by step.

1. Expression: \((172507 + 56736) : (350 - 347)\)

   Step 1: Calculate the sum in the numerator. \[ 172507 + 56736 = 229243 \]

   Step 2: Calculate the subtraction in the denominator. \[ 350 - 347 = 3 \]

   Step 3: Divide the results. \[ 229243 : 3 = 76414.3333 \quad \text{(or } 76414\frac{1}{3} \text{)} \]

2. Expression: \(500 + (1600 - 3 \times 100) \times 10\)

   Step 1: Calculate the multiplication. \[ 3 \times 100 = 300 \]

   Step 2: Calculate the subtraction. \[ 1600 - 300 = 1300 \]

   Step 3: Multiply the result by 10. \[ 1300 \times 10 = 13000 \]

   Step 4: Add 500 to the result. \[ 500 + 13000 = 13500 \]

3. Expression: \(940 - (459 : 3 + 209) + (112 \times 2)\)

   Step 1: Calculate the division. \[ 459 : 3 = 153 \]

   Step 2: Add 209 to the result. \[ 153 + 209 = 362 \]

   Step 3: Calculate the multiplication. \[ 112 \times 2 = 224 \]

   Step 4: Substitute back into the expression and perform the operations. \[ 940 - 362 + 224 \] Step 5: First, perform the subtraction. \[ 940 - 362 = 578 \] Step 6: Then add 224 to the result. \[ 578 + 224 = 802 \]

Summary of Results

1. \((172507 + 56736) : (350 - 347) = 76414.3333\)
2. \(500 + (1600 - 3 \times 100) \times 10 = 13500\)
3. \(940 - (459 : 3 + 209) + (112 \times 2) = 802\)