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Finding the Third Proportional to 226,947.75 and 329,780.25

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Solution

The third proportional to 226,947.75 and 329,780.25 is: 479,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,947.75 : 329,780.25 = 329,780.25 : x
  2. Step 2: Convert to fraction form
    226,947.75/329,780.25 = 329,780.25/x
  3. Step 3: Cross multiply
    226,947.75x = 329,780.25 × 329,780.25
  4. Step 4: Simplify right side
    226,947.75x = 108,755,013,290.06
  5. Step 5: Solve for x
    x = 108,755,013,290.06/226,947.75
  6. Step 6: Final answer
    x = 479,207.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.