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Finding the Third Proportional to 166,055 and 251,049

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Solution

The third proportional to 166,055 and 251,049 is: 379,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,055 : 251,049 = 251,049 : x
  2. Step 2: Convert to fraction form
    166,055/251,049 = 251,049/x
  3. Step 3: Cross multiply
    166,055x = 251,049 × 251,049
  4. Step 4: Simplify right side
    166,055x = 63,025,600,401
  5. Step 5: Solve for x
    x = 63,025,600,401/166,055
  6. Step 6: Final answer
    x = 379,546.54

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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.