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Finding the Third Proportional to 179,847 and 378,198

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Solution

The third proportional to 179,847 and 378,198 is: 795,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,847 : 378,198 = 378,198 : x
  2. Step 2: Convert to fraction form
    179,847/378,198 = 378,198/x
  3. Step 3: Cross multiply
    179,847x = 378,198 × 378,198
  4. Step 4: Simplify right side
    179,847x = 143,033,727,204
  5. Step 5: Solve for x
    x = 143,033,727,204/179,847
  6. Step 6: Final answer
    x = 795,307.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.