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Finding the Third Proportional to 169,584 and 394,296

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Solution

The third proportional to 169,584 and 394,296 is: 916,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,584 : 394,296 = 394,296 : x
  2. Step 2: Convert to fraction form
    169,584/394,296 = 394,296/x
  3. Step 3: Cross multiply
    169,584x = 394,296 × 394,296
  4. Step 4: Simplify right side
    169,584x = 155,469,335,616
  5. Step 5: Solve for x
    x = 155,469,335,616/169,584
  6. Step 6: Final answer
    x = 916,768.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.