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Finding the Third Proportional to 182,750 and 274,125

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Solution

The third proportional to 182,750 and 274,125 is: 411,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,750 : 274,125 = 274,125 : x
  2. Step 2: Convert to fraction form
    182,750/274,125 = 274,125/x
  3. Step 3: Cross multiply
    182,750x = 274,125 × 274,125
  4. Step 4: Simplify right side
    182,750x = 75,144,515,625
  5. Step 5: Solve for x
    x = 75,144,515,625/182,750
  6. Step 6: Final answer
    x = 411,187.50

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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.