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Finding the Third Proportional to 157,659.75 and 244,793.25

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Solution

The third proportional to 157,659.75 and 244,793.25 is: 380,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,659.75 : 244,793.25 = 244,793.25 : x
  2. Step 2: Convert to fraction form
    157,659.75/244,793.25 = 244,793.25/x
  3. Step 3: Cross multiply
    157,659.75x = 244,793.25 × 244,793.25
  4. Step 4: Simplify right side
    157,659.75x = 59,923,735,245.56
  5. Step 5: Solve for x
    x = 59,923,735,245.56/157,659.75
  6. Step 6: Final answer
    x = 380,082.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.