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Finding the Third Proportional to 177,589.13 and 270,815.91

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Solution

The third proportional to 177,589.13 and 270,815.91 is: 412,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,589.13 : 270,815.91 = 270,815.91 : x
  2. Step 2: Convert to fraction form
    177,589.13/270,815.91 = 270,815.91/x
  3. Step 3: Cross multiply
    177,589.13x = 270,815.91 × 270,815.91
  4. Step 4: Simplify right side
    177,589.13x = 73,341,255,078.01
  5. Step 5: Solve for x
    x = 73,341,255,078.01/177,589.13
  6. Step 6: Final answer
    x = 412,982.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.