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Finding the Third Proportional to 251,949.75 and 548,183.25

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Solution

The third proportional to 251,949.75 and 548,183.25 is: 1,192,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,949.75 : 548,183.25 = 548,183.25 : x
  2. Step 2: Convert to fraction form
    251,949.75/548,183.25 = 548,183.25/x
  3. Step 3: Cross multiply
    251,949.75x = 548,183.25 × 548,183.25
  4. Step 4: Simplify right side
    251,949.75x = 300,504,875,580.56
  5. Step 5: Solve for x
    x = 300,504,875,580.56/251,949.75
  6. Step 6: Final answer
    x = 1,192,717.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.