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Finding the Third Proportional to 150,414 and 225,651

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Solution

The third proportional to 150,414 and 225,651 is: 338,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,414 : 225,651 = 225,651 : x
  2. Step 2: Convert to fraction form
    150,414/225,651 = 225,651/x
  3. Step 3: Cross multiply
    150,414x = 225,651 × 225,651
  4. Step 4: Simplify right side
    150,414x = 50,918,373,801
  5. Step 5: Solve for x
    x = 50,918,373,801/150,414
  6. Step 6: Final answer
    x = 338,521.51

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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.