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Finding the Third Proportional to 192,861.38 and 395,118.75

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Solution

The third proportional to 192,861.38 and 395,118.75 is: 809,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,861.38 : 395,118.75 = 395,118.75 : x
  2. Step 2: Convert to fraction form
    192,861.38/395,118.75 = 395,118.75/x
  3. Step 3: Cross multiply
    192,861.38x = 395,118.75 × 395,118.75
  4. Step 4: Simplify right side
    192,861.38x = 156,118,826,601.56
  5. Step 5: Solve for x
    x = 156,118,826,601.56/192,861.38
  6. Step 6: Final answer
    x = 809,487.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.