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Finding the Third Proportional to 225,352.88 and 337,327.31

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Solution

The third proportional to 225,352.88 and 337,327.31 is: 504,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,352.88 : 337,327.31 = 337,327.31 : x
  2. Step 2: Convert to fraction form
    225,352.88/337,327.31 = 337,327.31/x
  3. Step 3: Cross multiply
    225,352.88x = 337,327.31 × 337,327.31
  4. Step 4: Simplify right side
    225,352.88x = 113,789,715,758.47
  5. Step 5: Solve for x
    x = 113,789,715,758.47/225,352.88
  6. Step 6: Final answer
    x = 504,940.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.