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Finding the Third Proportional to 150,414.75 and 225,654.75

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Solution

The third proportional to 150,414.75 and 225,654.75 is: 338,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,414.75 : 225,654.75 = 225,654.75 : x
  2. Step 2: Convert to fraction form
    150,414.75/225,654.75 = 225,654.75/x
  3. Step 3: Cross multiply
    150,414.75x = 225,654.75 × 225,654.75
  4. Step 4: Simplify right side
    150,414.75x = 50,920,066,197.56
  5. Step 5: Solve for x
    x = 50,920,066,197.56/150,414.75
  6. Step 6: Final answer
    x = 338,531.07

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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.