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Finding the Third Proportional to 182,609 and 394,378

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Solution

The third proportional to 182,609 and 394,378 is: 851,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,609 : 394,378 = 394,378 : x
  2. Step 2: Convert to fraction form
    182,609/394,378 = 394,378/x
  3. Step 3: Cross multiply
    182,609x = 394,378 × 394,378
  4. Step 4: Simplify right side
    182,609x = 155,534,006,884
  5. Step 5: Solve for x
    x = 155,534,006,884/182,609
  6. Step 6: Final answer
    x = 851,732.43

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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.