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Finding the Third Proportional to 168,867 and 367,002

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Solution

The third proportional to 168,867 and 367,002 is: 797,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,867 : 367,002 = 367,002 : x
  2. Step 2: Convert to fraction form
    168,867/367,002 = 367,002/x
  3. Step 3: Cross multiply
    168,867x = 367,002 × 367,002
  4. Step 4: Simplify right side
    168,867x = 134,690,468,004
  5. Step 5: Solve for x
    x = 134,690,468,004/168,867
  6. Step 6: Final answer
    x = 797,612.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.