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Finding the Third Proportional to 226,107.75 and 491,581.13

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Solution

The third proportional to 226,107.75 and 491,581.13 is: 1,068,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,107.75 : 491,581.13 = 491,581.13 : x
  2. Step 2: Convert to fraction form
    226,107.75/491,581.13 = 491,581.13/x
  3. Step 3: Cross multiply
    226,107.75x = 491,581.13 × 491,581.13
  4. Step 4: Simplify right side
    226,107.75x = 241,652,002,456.27
  5. Step 5: Solve for x
    x = 241,652,002,456.27/226,107.75
  6. Step 6: Final answer
    x = 1,068,747.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.