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Finding the Third Proportional to 185,958.75 and 276,204.38

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Solution

The third proportional to 185,958.75 and 276,204.38 is: 410,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,958.75 : 276,204.38 = 276,204.38 : x
  2. Step 2: Convert to fraction form
    185,958.75/276,204.38 = 276,204.38/x
  3. Step 3: Cross multiply
    185,958.75x = 276,204.38 × 276,204.38
  4. Step 4: Simplify right side
    185,958.75x = 76,288,856,769.14
  5. Step 5: Solve for x
    x = 76,288,856,769.14/185,958.75
  6. Step 6: Final answer
    x = 410,246.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.