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Finding the Third Proportional to 83,245.54 and 179,789.63

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Solution

The third proportional to 83,245.54 and 179,789.63 is: 388,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,245.54 : 179,789.63 = 179,789.63 : x
  2. Step 2: Convert to fraction form
    83,245.54/179,789.63 = 179,789.63/x
  3. Step 3: Cross multiply
    83,245.54x = 179,789.63 × 179,789.63
  4. Step 4: Simplify right side
    83,245.54x = 32,324,309,257.64
  5. Step 5: Solve for x
    x = 32,324,309,257.64/83,245.54
  6. Step 6: Final answer
    x = 388,300.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.