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Finding the Third Proportional to 179,601.75 and 261,504.75

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Solution

The third proportional to 179,601.75 and 261,504.75 is: 380,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,601.75 : 261,504.75 = 261,504.75 : x
  2. Step 2: Convert to fraction form
    179,601.75/261,504.75 = 261,504.75/x
  3. Step 3: Cross multiply
    179,601.75x = 261,504.75 × 261,504.75
  4. Step 4: Simplify right side
    179,601.75x = 68,384,734,272.56
  5. Step 5: Solve for x
    x = 68,384,734,272.56/179,601.75
  6. Step 6: Final answer
    x = 380,757.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.