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Finding the Third Proportional to 107,792 and 232,792

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Solution

The third proportional to 107,792 and 232,792 is: 502,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,792 : 232,792 = 232,792 : x
  2. Step 2: Convert to fraction form
    107,792/232,792 = 232,792/x
  3. Step 3: Cross multiply
    107,792x = 232,792 × 232,792
  4. Step 4: Simplify right side
    107,792x = 54,192,115,264
  5. Step 5: Solve for x
    x = 54,192,115,264/107,792
  6. Step 6: Final answer
    x = 502,747.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.