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Finding the Third Proportional to 120,794 and 199,642

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Solution

The third proportional to 120,794 and 199,642 is: 329,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,794 : 199,642 = 199,642 : x
  2. Step 2: Convert to fraction form
    120,794/199,642 = 199,642/x
  3. Step 3: Cross multiply
    120,794x = 199,642 × 199,642
  4. Step 4: Simplify right side
    120,794x = 39,856,928,164
  5. Step 5: Solve for x
    x = 39,856,928,164/120,794
  6. Step 6: Final answer
    x = 329,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.