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Finding the Third Proportional to 87,356.25 and 186,151.50

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Solution

The third proportional to 87,356.25 and 186,151.50 is: 396,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,356.25 : 186,151.50 = 186,151.50 : x
  2. Step 2: Convert to fraction form
    87,356.25/186,151.50 = 186,151.50/x
  3. Step 3: Cross multiply
    87,356.25x = 186,151.50 × 186,151.50
  4. Step 4: Simplify right side
    87,356.25x = 34,652,380,952.25
  5. Step 5: Solve for x
    x = 34,652,380,952.25/87,356.25
  6. Step 6: Final answer
    x = 396,678.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.