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Finding the Third Proportional to 182,361 and 394,962

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Solution

The third proportional to 182,361 and 394,962 is: 855,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,361 : 394,962 = 394,962 : x
  2. Step 2: Convert to fraction form
    182,361/394,962 = 394,962/x
  3. Step 3: Cross multiply
    182,361x = 394,962 × 394,962
  4. Step 4: Simplify right side
    182,361x = 155,994,981,444
  5. Step 5: Solve for x
    x = 155,994,981,444/182,361
  6. Step 6: Final answer
    x = 855,418.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.