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Finding the Third Proportional to 102,377 and 221,398

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Solution

The third proportional to 102,377 and 221,398 is: 478,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,377 : 221,398 = 221,398 : x
  2. Step 2: Convert to fraction form
    102,377/221,398 = 221,398/x
  3. Step 3: Cross multiply
    102,377x = 221,398 × 221,398
  4. Step 4: Simplify right side
    102,377x = 49,017,074,404
  5. Step 5: Solve for x
    x = 49,017,074,404/102,377
  6. Step 6: Final answer
    x = 478,789.91

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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.