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Finding the Third Proportional to 157,099.50 and 334,793.25

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Solution

The third proportional to 157,099.50 and 334,793.25 is: 713,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,099.50 : 334,793.25 = 334,793.25 : x
  2. Step 2: Convert to fraction form
    157,099.50/334,793.25 = 334,793.25/x
  3. Step 3: Cross multiply
    157,099.50x = 334,793.25 × 334,793.25
  4. Step 4: Simplify right side
    157,099.50x = 112,086,520,245.56
  5. Step 5: Solve for x
    x = 112,086,520,245.56/157,099.50
  6. Step 6: Final answer
    x = 713,474.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.