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Finding the Third Proportional to 83,339.25 and 179,709.75

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Solution

The third proportional to 83,339.25 and 179,709.75 is: 387,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,339.25 : 179,709.75 = 179,709.75 : x
  2. Step 2: Convert to fraction form
    83,339.25/179,709.75 = 179,709.75/x
  3. Step 3: Cross multiply
    83,339.25x = 179,709.75 × 179,709.75
  4. Step 4: Simplify right side
    83,339.25x = 32,295,594,245.06
  5. Step 5: Solve for x
    x = 32,295,594,245.06/83,339.25
  6. Step 6: Final answer
    x = 387,519.62

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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.