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Finding the Third Proportional to 150,411.09 and 225,649.13

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Solution

The third proportional to 150,411.09 and 225,649.13 is: 338,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,411.09 : 225,649.13 = 225,649.13 : x
  2. Step 2: Convert to fraction form
    150,411.09/225,649.13 = 225,649.13/x
  3. Step 3: Cross multiply
    150,411.09x = 225,649.13 × 225,649.13
  4. Step 4: Simplify right side
    150,411.09x = 50,917,527,613.27
  5. Step 5: Solve for x
    x = 50,917,527,613.27/150,411.09
  6. Step 6: Final answer
    x = 338,522.42

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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.