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Finding the Third Proportional to 87,380 and 186,206

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Solution

The third proportional to 87,380 and 186,206 is: 396,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,380 : 186,206 = 186,206 : x
  2. Step 2: Convert to fraction form
    87,380/186,206 = 186,206/x
  3. Step 3: Cross multiply
    87,380x = 186,206 × 186,206
  4. Step 4: Simplify right side
    87,380x = 34,672,674,436
  5. Step 5: Solve for x
    x = 34,672,674,436/87,380
  6. Step 6: Final answer
    x = 396,803.32

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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.