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Finding the Third Proportional to 205,081.50 and 320,979.75

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Solution

The third proportional to 205,081.50 and 320,979.75 is: 502,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,081.50 : 320,979.75 = 320,979.75 : x
  2. Step 2: Convert to fraction form
    205,081.50/320,979.75 = 320,979.75/x
  3. Step 3: Cross multiply
    205,081.50x = 320,979.75 × 320,979.75
  4. Step 4: Simplify right side
    205,081.50x = 103,027,999,910.06
  5. Step 5: Solve for x
    x = 103,027,999,910.06/205,081.50
  6. Step 6: Final answer
    x = 502,375.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.