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Finding the Third Proportional to 87,600 and 186,848

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Solution

The third proportional to 87,600 and 186,848 is: 398,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,600 : 186,848 = 186,848 : x
  2. Step 2: Convert to fraction form
    87,600/186,848 = 186,848/x
  3. Step 3: Cross multiply
    87,600x = 186,848 × 186,848
  4. Step 4: Simplify right side
    87,600x = 34,912,175,104
  5. Step 5: Solve for x
    x = 34,912,175,104/87,600
  6. Step 6: Final answer
    x = 398,540.81

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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.