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Finding the Third Proportional to 185,654 and 394,636

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Solution

The third proportional to 185,654 and 394,636 is: 838,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,654 : 394,636 = 394,636 : x
  2. Step 2: Convert to fraction form
    185,654/394,636 = 394,636/x
  3. Step 3: Cross multiply
    185,654x = 394,636 × 394,636
  4. Step 4: Simplify right side
    185,654x = 155,737,572,496
  5. Step 5: Solve for x
    x = 155,737,572,496/185,654
  6. Step 6: Final answer
    x = 838,859.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.