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Finding the Third Proportional to 80,794.50 and 176,979

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Solution

The third proportional to 80,794.50 and 176,979 is: 387,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,794.50 : 176,979 = 176,979 : x
  2. Step 2: Convert to fraction form
    80,794.50/176,979 = 176,979/x
  3. Step 3: Cross multiply
    80,794.50x = 176,979 × 176,979
  4. Step 4: Simplify right side
    80,794.50x = 31,321,566,441
  5. Step 5: Solve for x
    x = 31,321,566,441/80,794.50
  6. Step 6: Final answer
    x = 387,669.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.