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Finding the Third Proportional to 179,170 and 271,049

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Solution

The third proportional to 179,170 and 271,049 is: 410,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,170 : 271,049 = 271,049 : x
  2. Step 2: Convert to fraction form
    179,170/271,049 = 271,049/x
  3. Step 3: Cross multiply
    179,170x = 271,049 × 271,049
  4. Step 4: Simplify right side
    179,170x = 73,467,560,401
  5. Step 5: Solve for x
    x = 73,467,560,401/179,170
  6. Step 6: Final answer
    x = 410,043.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.