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Finding the Third Proportional to 167,401 and 252,610.75

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Solution

The third proportional to 167,401 and 252,610.75 is: 381,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,401 : 252,610.75 = 252,610.75 : x
  2. Step 2: Convert to fraction form
    167,401/252,610.75 = 252,610.75/x
  3. Step 3: Cross multiply
    167,401x = 252,610.75 × 252,610.75
  4. Step 4: Simplify right side
    167,401x = 63,812,191,015.56
  5. Step 5: Solve for x
    x = 63,812,191,015.56/167,401
  6. Step 6: Final answer
    x = 381,193.61

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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.