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Finding the Third Proportional to 168,966 and 252,948

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Solution

The third proportional to 168,966 and 252,948 is: 378,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,966 : 252,948 = 252,948 : x
  2. Step 2: Convert to fraction form
    168,966/252,948 = 252,948/x
  3. Step 3: Cross multiply
    168,966x = 252,948 × 252,948
  4. Step 4: Simplify right side
    168,966x = 63,982,690,704
  5. Step 5: Solve for x
    x = 63,982,690,704/168,966
  6. Step 6: Final answer
    x = 378,671.99

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Why These Related Problems?

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