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Finding the Third Proportional to 195,369.75 and 396,168.75

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Solution

The third proportional to 195,369.75 and 396,168.75 is: 803,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,369.75 : 396,168.75 = 396,168.75 : x
  2. Step 2: Convert to fraction form
    195,369.75/396,168.75 = 396,168.75/x
  3. Step 3: Cross multiply
    195,369.75x = 396,168.75 × 396,168.75
  4. Step 4: Simplify right side
    195,369.75x = 156,949,678,476.56
  5. Step 5: Solve for x
    x = 156,949,678,476.56/195,369.75
  6. Step 6: Final answer
    x = 803,346.88

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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.