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Finding the Third Proportional to 150,412.78 and 225,651.66

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Solution

The third proportional to 150,412.78 and 225,651.66 is: 338,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,412.78 : 225,651.66 = 225,651.66 : x
  2. Step 2: Convert to fraction form
    150,412.78/225,651.66 = 225,651.66/x
  3. Step 3: Cross multiply
    150,412.78x = 225,651.66 × 225,651.66
  4. Step 4: Simplify right side
    150,412.78x = 50,918,669,968.37
  5. Step 5: Solve for x
    x = 50,918,669,968.37/150,412.78
  6. Step 6: Final answer
    x = 338,526.22

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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.