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Finding the Third Proportional to 182,738 and 274,107

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Solution

The third proportional to 182,738 and 274,107 is: 411,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,738 : 274,107 = 274,107 : x
  2. Step 2: Convert to fraction form
    182,738/274,107 = 274,107/x
  3. Step 3: Cross multiply
    182,738x = 274,107 × 274,107
  4. Step 4: Simplify right side
    182,738x = 75,134,647,449
  5. Step 5: Solve for x
    x = 75,134,647,449/182,738
  6. Step 6: Final answer
    x = 411,160.50

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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.