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Finding the Third Proportional to 110,792 and 234,877

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Solution

The third proportional to 110,792 and 234,877 is: 497,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,792 : 234,877 = 234,877 : x
  2. Step 2: Convert to fraction form
    110,792/234,877 = 234,877/x
  3. Step 3: Cross multiply
    110,792x = 234,877 × 234,877
  4. Step 4: Simplify right side
    110,792x = 55,167,205,129
  5. Step 5: Solve for x
    x = 55,167,205,129/110,792
  6. Step 6: Final answer
    x = 497,934.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.