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Finding the Third Proportional to 182,236 and 394,424

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Solution

The third proportional to 182,236 and 394,424 is: 853,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,236 : 394,424 = 394,424 : x
  2. Step 2: Convert to fraction form
    182,236/394,424 = 394,424/x
  3. Step 3: Cross multiply
    182,236x = 394,424 × 394,424
  4. Step 4: Simplify right side
    182,236x = 155,570,291,776
  5. Step 5: Solve for x
    x = 155,570,291,776/182,236
  6. Step 6: Final answer
    x = 853,674.86

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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.