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Finding the Third Proportional to 172,932 and 261,708

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Solution

The third proportional to 172,932 and 261,708 is: 396,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,932 : 261,708 = 261,708 : x
  2. Step 2: Convert to fraction form
    172,932/261,708 = 261,708/x
  3. Step 3: Cross multiply
    172,932x = 261,708 × 261,708
  4. Step 4: Simplify right side
    172,932x = 68,491,077,264
  5. Step 5: Solve for x
    x = 68,491,077,264/172,932
  6. Step 6: Final answer
    x = 396,057.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.