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Finding the Third Proportional to 182,117.25 and 276,456.75

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Solution

The third proportional to 182,117.25 and 276,456.75 is: 419,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,117.25 : 276,456.75 = 276,456.75 : x
  2. Step 2: Convert to fraction form
    182,117.25/276,456.75 = 276,456.75/x
  3. Step 3: Cross multiply
    182,117.25x = 276,456.75 × 276,456.75
  4. Step 4: Simplify right side
    182,117.25x = 76,428,334,620.56
  5. Step 5: Solve for x
    x = 76,428,334,620.56/182,117.25
  6. Step 6: Final answer
    x = 419,665.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.