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Finding the Third Proportional to 106,418 and 226,660

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Solution

The third proportional to 106,418 and 226,660 is: 482,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,418 : 226,660 = 226,660 : x
  2. Step 2: Convert to fraction form
    106,418/226,660 = 226,660/x
  3. Step 3: Cross multiply
    106,418x = 226,660 × 226,660
  4. Step 4: Simplify right side
    106,418x = 51,374,755,600
  5. Step 5: Solve for x
    x = 51,374,755,600/106,418
  6. Step 6: Final answer
    x = 482,763.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.