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Finding the Third Proportional to 168,771 and 367,134

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Solution

The third proportional to 168,771 and 367,134 is: 798,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,771 : 367,134 = 367,134 : x
  2. Step 2: Convert to fraction form
    168,771/367,134 = 367,134/x
  3. Step 3: Cross multiply
    168,771x = 367,134 × 367,134
  4. Step 4: Simplify right side
    168,771x = 134,787,373,956
  5. Step 5: Solve for x
    x = 134,787,373,956/168,771
  6. Step 6: Final answer
    x = 798,640.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.