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Finding the Third Proportional to 161,272.13 and 225,565.88

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Solution

The third proportional to 161,272.13 and 225,565.88 is: 315,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,272.13 : 225,565.88 = 225,565.88 : x
  2. Step 2: Convert to fraction form
    161,272.13/225,565.88 = 225,565.88/x
  3. Step 3: Cross multiply
    161,272.13x = 225,565.88 × 225,565.88
  4. Step 4: Simplify right side
    161,272.13x = 50,879,963,964.52
  5. Step 5: Solve for x
    x = 50,879,963,964.52/161,272.13
  6. Step 6: Final answer
    x = 315,491.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.