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Finding the Third Proportional to 87,392 and 186,223

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Solution

The third proportional to 87,392 and 186,223 is: 396,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,392 : 186,223 = 186,223 : x
  2. Step 2: Convert to fraction form
    87,392/186,223 = 186,223/x
  3. Step 3: Cross multiply
    87,392x = 186,223 × 186,223
  4. Step 4: Simplify right side
    87,392x = 34,679,005,729
  5. Step 5: Solve for x
    x = 34,679,005,729/87,392
  6. Step 6: Final answer
    x = 396,821.28

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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.