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Finding the Third Proportional to 150,542 and 225,825

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Solution

The third proportional to 150,542 and 225,825 is: 338,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542 : 225,825 = 225,825 : x
  2. Step 2: Convert to fraction form
    150,542/225,825 = 225,825/x
  3. Step 3: Cross multiply
    150,542x = 225,825 × 225,825
  4. Step 4: Simplify right side
    150,542x = 50,996,930,625
  5. Step 5: Solve for x
    x = 50,996,930,625/150,542
  6. Step 6: Final answer
    x = 338,755.50

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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.