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Finding the Third Proportional to 182,234 and 394,420

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Solution

The third proportional to 182,234 and 394,420 is: 853,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,234 : 394,420 = 394,420 : x
  2. Step 2: Convert to fraction form
    182,234/394,420 = 394,420/x
  3. Step 3: Cross multiply
    182,234x = 394,420 × 394,420
  4. Step 4: Simplify right side
    182,234x = 155,567,136,400
  5. Step 5: Solve for x
    x = 155,567,136,400/182,234
  6. Step 6: Final answer
    x = 853,666.91

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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.