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Finding the Third Proportional to 80,433 and 171,234

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Solution

The third proportional to 80,433 and 171,234 is: 364,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,433 : 171,234 = 171,234 : x
  2. Step 2: Convert to fraction form
    80,433/171,234 = 171,234/x
  3. Step 3: Cross multiply
    80,433x = 171,234 × 171,234
  4. Step 4: Simplify right side
    80,433x = 29,321,082,756
  5. Step 5: Solve for x
    x = 29,321,082,756/80,433
  6. Step 6: Final answer
    x = 364,540.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.