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Finding the Third Proportional to 126,540 and 256,716

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Solution

The third proportional to 126,540 and 256,716 is: 520,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,540 : 256,716 = 256,716 : x
  2. Step 2: Convert to fraction form
    126,540/256,716 = 256,716/x
  3. Step 3: Cross multiply
    126,540x = 256,716 × 256,716
  4. Step 4: Simplify right side
    126,540x = 65,903,104,656
  5. Step 5: Solve for x
    x = 65,903,104,656/126,540
  6. Step 6: Final answer
    x = 520,808.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.