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Finding the Third Proportional to 150,412.88 and 225,651.75

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Solution

The third proportional to 150,412.88 and 225,651.75 is: 338,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,412.88 : 225,651.75 = 225,651.75 : x
  2. Step 2: Convert to fraction form
    150,412.88/225,651.75 = 225,651.75/x
  3. Step 3: Cross multiply
    150,412.88x = 225,651.75 × 225,651.75
  4. Step 4: Simplify right side
    150,412.88x = 50,918,712,278.06
  5. Step 5: Solve for x
    x = 50,918,712,278.06/150,412.88
  6. Step 6: Final answer
    x = 338,526.29

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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.