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Finding the Third Proportional to 87,184 and 188,812

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Solution

The third proportional to 87,184 and 188,812 is: 408,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,184 : 188,812 = 188,812 : x
  2. Step 2: Convert to fraction form
    87,184/188,812 = 188,812/x
  3. Step 3: Cross multiply
    87,184x = 188,812 × 188,812
  4. Step 4: Simplify right side
    87,184x = 35,649,971,344
  5. Step 5: Solve for x
    x = 35,649,971,344/87,184
  6. Step 6: Final answer
    x = 408,904.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.