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Finding the Third Proportional to 150,418 and 225,659

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Solution

The third proportional to 150,418 and 225,659 is: 338,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,418 : 225,659 = 225,659 : x
  2. Step 2: Convert to fraction form
    150,418/225,659 = 225,659/x
  3. Step 3: Cross multiply
    150,418x = 225,659 × 225,659
  4. Step 4: Simplify right side
    150,418x = 50,921,984,281
  5. Step 5: Solve for x
    x = 50,921,984,281/150,418
  6. Step 6: Final answer
    x = 338,536.51

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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.