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Finding the Third Proportional to 87,582 and 188,304

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Solution

The third proportional to 87,582 and 188,304 is: 404,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,582 : 188,304 = 188,304 : x
  2. Step 2: Convert to fraction form
    87,582/188,304 = 188,304/x
  3. Step 3: Cross multiply
    87,582x = 188,304 × 188,304
  4. Step 4: Simplify right side
    87,582x = 35,458,396,416
  5. Step 5: Solve for x
    x = 35,458,396,416/87,582
  6. Step 6: Final answer
    x = 404,859.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.