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Finding the Third Proportional to 182,756 and 274,134

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Solution

The third proportional to 182,756 and 274,134 is: 411,201

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,756 : 274,134 = 274,134 : x
  2. Step 2: Convert to fraction form
    182,756/274,134 = 274,134/x
  3. Step 3: Cross multiply
    182,756x = 274,134 × 274,134
  4. Step 4: Simplify right side
    182,756x = 75,149,449,956
  5. Step 5: Solve for x
    x = 75,149,449,956/182,756
  6. Step 6: Final answer
    x = 411,201

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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.