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Finding the Third Proportional to 221,371.50 and 332,105.25

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Solution

The third proportional to 221,371.50 and 332,105.25 is: 498,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,371.50 : 332,105.25 = 332,105.25 : x
  2. Step 2: Convert to fraction form
    221,371.50/332,105.25 = 332,105.25/x
  3. Step 3: Cross multiply
    221,371.50x = 332,105.25 × 332,105.25
  4. Step 4: Simplify right side
    221,371.50x = 110,293,897,077.56
  5. Step 5: Solve for x
    x = 110,293,897,077.56/221,371.50
  6. Step 6: Final answer
    x = 498,229.89

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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.