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Finding the Third Proportional to 87,284 and 186,230

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Solution

The third proportional to 87,284 and 186,230 is: 397,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,284 : 186,230 = 186,230 : x
  2. Step 2: Convert to fraction form
    87,284/186,230 = 186,230/x
  3. Step 3: Cross multiply
    87,284x = 186,230 × 186,230
  4. Step 4: Simplify right side
    87,284x = 34,681,612,900
  5. Step 5: Solve for x
    x = 34,681,612,900/87,284
  6. Step 6: Final answer
    x = 397,342.16

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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.