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Finding the Third Proportional to 95,784 and 194,302

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Solution

The third proportional to 95,784 and 194,302 is: 394,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,784 : 194,302 = 194,302 : x
  2. Step 2: Convert to fraction form
    95,784/194,302 = 194,302/x
  3. Step 3: Cross multiply
    95,784x = 194,302 × 194,302
  4. Step 4: Simplify right side
    95,784x = 37,753,267,204
  5. Step 5: Solve for x
    x = 37,753,267,204/95,784
  6. Step 6: Final answer
    x = 394,150.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.