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Finding the Third Proportional to 182,874 and 274,311

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Solution

The third proportional to 182,874 and 274,311 is: 411,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,874 : 274,311 = 274,311 : x
  2. Step 2: Convert to fraction form
    182,874/274,311 = 274,311/x
  3. Step 3: Cross multiply
    182,874x = 274,311 × 274,311
  4. Step 4: Simplify right side
    182,874x = 75,246,524,721
  5. Step 5: Solve for x
    x = 75,246,524,721/182,874
  6. Step 6: Final answer
    x = 411,466.50

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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.