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Finding the Third Proportional to 111,331 and 226,550

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Solution

The third proportional to 111,331 and 226,550 is: 461,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,331 : 226,550 = 226,550 : x
  2. Step 2: Convert to fraction form
    111,331/226,550 = 226,550/x
  3. Step 3: Cross multiply
    111,331x = 226,550 × 226,550
  4. Step 4: Simplify right side
    111,331x = 51,324,902,500
  5. Step 5: Solve for x
    x = 51,324,902,500/111,331
  6. Step 6: Final answer
    x = 461,011.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.