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Finding the Third Proportional to 226,137 and 332,463

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Solution

The third proportional to 226,137 and 332,463 is: 488,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,137 : 332,463 = 332,463 : x
  2. Step 2: Convert to fraction form
    226,137/332,463 = 332,463/x
  3. Step 3: Cross multiply
    226,137x = 332,463 × 332,463
  4. Step 4: Simplify right side
    226,137x = 110,531,646,369
  5. Step 5: Solve for x
    x = 110,531,646,369/226,137
  6. Step 6: Final answer
    x = 488,781.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.