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Finding the Third Proportional to 87,257.25 and 188,439.75

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Solution

The third proportional to 87,257.25 and 188,439.75 is: 406,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,257.25 : 188,439.75 = 188,439.75 : x
  2. Step 2: Convert to fraction form
    87,257.25/188,439.75 = 188,439.75/x
  3. Step 3: Cross multiply
    87,257.25x = 188,439.75 × 188,439.75
  4. Step 4: Simplify right side
    87,257.25x = 35,509,539,380.06
  5. Step 5: Solve for x
    x = 35,509,539,380.06/87,257.25
  6. Step 6: Final answer
    x = 406,952.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.