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Finding the Third Proportional to 185,452.50 and 397,149

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Solution

The third proportional to 185,452.50 and 397,149 is: 850,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,452.50 : 397,149 = 397,149 : x
  2. Step 2: Convert to fraction form
    185,452.50/397,149 = 397,149/x
  3. Step 3: Cross multiply
    185,452.50x = 397,149 × 397,149
  4. Step 4: Simplify right side
    185,452.50x = 157,727,328,201
  5. Step 5: Solve for x
    x = 157,727,328,201/185,452.50
  6. Step 6: Final answer
    x = 850,499.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.