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Finding the Third Proportional to 182,682 and 394,443

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Solution

The third proportional to 182,682 and 394,443 is: 851,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,682 : 394,443 = 394,443 : x
  2. Step 2: Convert to fraction form
    182,682/394,443 = 394,443/x
  3. Step 3: Cross multiply
    182,682x = 394,443 × 394,443
  4. Step 4: Simplify right side
    182,682x = 155,585,280,249
  5. Step 5: Solve for x
    x = 155,585,280,249/182,682
  6. Step 6: Final answer
    x = 851,672.74

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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.