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Finding the Third Proportional to 182,757 and 274,135

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Solution

The third proportional to 182,757 and 274,135 is: 411,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,757 : 274,135 = 274,135 : x
  2. Step 2: Convert to fraction form
    182,757/274,135 = 274,135/x
  3. Step 3: Cross multiply
    182,757x = 274,135 × 274,135
  4. Step 4: Simplify right side
    182,757x = 75,149,998,225
  5. Step 5: Solve for x
    x = 75,149,998,225/182,757
  6. Step 6: Final answer
    x = 411,201.75

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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.