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Finding the Third Proportional to 179,847 and 270,234

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Solution

The third proportional to 179,847 and 270,234 is: 406,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,847 : 270,234 = 270,234 : x
  2. Step 2: Convert to fraction form
    179,847/270,234 = 270,234/x
  3. Step 3: Cross multiply
    179,847x = 270,234 × 270,234
  4. Step 4: Simplify right side
    179,847x = 73,026,414,756
  5. Step 5: Solve for x
    x = 73,026,414,756/179,847
  6. Step 6: Final answer
    x = 406,047.44

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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.