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Finding the Third Proportional to 182,210 and 394,372

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Solution

The third proportional to 182,210 and 394,372 is: 853,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,210 : 394,372 = 394,372 : x
  2. Step 2: Convert to fraction form
    182,210/394,372 = 394,372/x
  3. Step 3: Cross multiply
    182,210x = 394,372 × 394,372
  4. Step 4: Simplify right side
    182,210x = 155,529,274,384
  5. Step 5: Solve for x
    x = 155,529,274,384/182,210
  6. Step 6: Final answer
    x = 853,571.56

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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.