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Finding the Third Proportional to 182,252 and 394,456

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Solution

The third proportional to 182,252 and 394,456 is: 853,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,252 : 394,456 = 394,456 : x
  2. Step 2: Convert to fraction form
    182,252/394,456 = 394,456/x
  3. Step 3: Cross multiply
    182,252x = 394,456 × 394,456
  4. Step 4: Simplify right side
    182,252x = 155,595,535,936
  5. Step 5: Solve for x
    x = 155,595,535,936/182,252
  6. Step 6: Final answer
    x = 853,738.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.