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Finding the Third Proportional to 182,757.25 and 274,135.75

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Solution

The third proportional to 182,757.25 and 274,135.75 is: 411,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,757.25 : 274,135.75 = 274,135.75 : x
  2. Step 2: Convert to fraction form
    182,757.25/274,135.75 = 274,135.75/x
  3. Step 3: Cross multiply
    182,757.25x = 274,135.75 × 274,135.75
  4. Step 4: Simplify right side
    182,757.25x = 75,150,409,428.06
  5. Step 5: Solve for x
    x = 75,150,409,428.06/182,757.25
  6. Step 6: Final answer
    x = 411,203.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.