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Finding the Third Proportional to 82,542.38 and 180,906.75

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Solution

The third proportional to 82,542.38 and 180,906.75 is: 396,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,542.38 : 180,906.75 = 180,906.75 : x
  2. Step 2: Convert to fraction form
    82,542.38/180,906.75 = 180,906.75/x
  3. Step 3: Cross multiply
    82,542.38x = 180,906.75 × 180,906.75
  4. Step 4: Simplify right side
    82,542.38x = 32,727,252,195.56
  5. Step 5: Solve for x
    x = 32,727,252,195.56/82,542.38
  6. Step 6: Final answer
    x = 396,490.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.