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Finding the Third Proportional to 87,356 and 186,150

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Solution

The third proportional to 87,356 and 186,150 is: 396,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,356 : 186,150 = 186,150 : x
  2. Step 2: Convert to fraction form
    87,356/186,150 = 186,150/x
  3. Step 3: Cross multiply
    87,356x = 186,150 × 186,150
  4. Step 4: Simplify right side
    87,356x = 34,651,822,500
  5. Step 5: Solve for x
    x = 34,651,822,500/87,356
  6. Step 6: Final answer
    x = 396,673.64

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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.