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Finding the Third Proportional to 224,388.38 and 486,161.25

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Solution

The third proportional to 224,388.38 and 486,161.25 is: 1,053,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,388.38 : 486,161.25 = 486,161.25 : x
  2. Step 2: Convert to fraction form
    224,388.38/486,161.25 = 486,161.25/x
  3. Step 3: Cross multiply
    224,388.38x = 486,161.25 × 486,161.25
  4. Step 4: Simplify right side
    224,388.38x = 236,352,761,001.56
  5. Step 5: Solve for x
    x = 236,352,761,001.56/224,388.38
  6. Step 6: Final answer
    x = 1,053,319.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.