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Finding the Third Proportional to 115,974.28 and 179,573.20

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Solution

The third proportional to 115,974.28 and 179,573.20 is: 278,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,974.28 : 179,573.20 = 179,573.20 : x
  2. Step 2: Convert to fraction form
    115,974.28/179,573.20 = 179,573.20/x
  3. Step 3: Cross multiply
    115,974.28x = 179,573.20 × 179,573.20
  4. Step 4: Simplify right side
    115,974.28x = 32,246,535,280.57
  5. Step 5: Solve for x
    x = 32,246,535,280.57/115,974.28
  6. Step 6: Final answer
    x = 278,049.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.