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Finding the Third Proportional to 87,604 and 186,856

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Solution

The third proportional to 87,604 and 186,856 is: 398,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,604 : 186,856 = 186,856 : x
  2. Step 2: Convert to fraction form
    87,604/186,856 = 186,856/x
  3. Step 3: Cross multiply
    87,604x = 186,856 × 186,856
  4. Step 4: Simplify right side
    87,604x = 34,915,164,736
  5. Step 5: Solve for x
    x = 34,915,164,736/87,604
  6. Step 6: Final answer
    x = 398,556.74

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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.