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Finding the Third Proportional to 83,441.25 and 179,997.75

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Solution

The third proportional to 83,441.25 and 179,997.75 is: 388,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,441.25 : 179,997.75 = 179,997.75 : x
  2. Step 2: Convert to fraction form
    83,441.25/179,997.75 = 179,997.75/x
  3. Step 3: Cross multiply
    83,441.25x = 179,997.75 × 179,997.75
  4. Step 4: Simplify right side
    83,441.25x = 32,399,190,005.06
  5. Step 5: Solve for x
    x = 32,399,190,005.06/83,441.25
  6. Step 6: Final answer
    x = 388,287.45

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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.