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Finding the Third Proportional to 192,982 and 415,496

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Solution

The third proportional to 192,982 and 415,496 is: 894,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,982 : 415,496 = 415,496 : x
  2. Step 2: Convert to fraction form
    192,982/415,496 = 415,496/x
  3. Step 3: Cross multiply
    192,982x = 415,496 × 415,496
  4. Step 4: Simplify right side
    192,982x = 172,636,926,016
  5. Step 5: Solve for x
    x = 172,636,926,016/192,982
  6. Step 6: Final answer
    x = 894,575.28

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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.