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Finding the Third Proportional to 168,530 and 253,227

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Solution

The third proportional to 168,530 and 253,227 is: 380,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,530 : 253,227 = 253,227 : x
  2. Step 2: Convert to fraction form
    168,530/253,227 = 253,227/x
  3. Step 3: Cross multiply
    168,530x = 253,227 × 253,227
  4. Step 4: Simplify right side
    168,530x = 64,123,913,529
  5. Step 5: Solve for x
    x = 64,123,913,529/168,530
  6. Step 6: Final answer
    x = 380,489.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.