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Finding the Third Proportional to 83,304 and 181,395

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Solution

The third proportional to 83,304 and 181,395 is: 394,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,304 : 181,395 = 181,395 : x
  2. Step 2: Convert to fraction form
    83,304/181,395 = 181,395/x
  3. Step 3: Cross multiply
    83,304x = 181,395 × 181,395
  4. Step 4: Simplify right side
    83,304x = 32,904,146,025
  5. Step 5: Solve for x
    x = 32,904,146,025/83,304
  6. Step 6: Final answer
    x = 394,988.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.