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Finding the Third Proportional to 182,204 and 392,087

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Solution

The third proportional to 182,204 and 392,087 is: 843,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,204 : 392,087 = 392,087 : x
  2. Step 2: Convert to fraction form
    182,204/392,087 = 392,087/x
  3. Step 3: Cross multiply
    182,204x = 392,087 × 392,087
  4. Step 4: Simplify right side
    182,204x = 153,732,215,569
  5. Step 5: Solve for x
    x = 153,732,215,569/182,204
  6. Step 6: Final answer
    x = 843,736.78

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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.