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Finding the Third Proportional to 175,997.25 and 360,195.75

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Solution

The third proportional to 175,997.25 and 360,195.75 is: 737,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,997.25 : 360,195.75 = 360,195.75 : x
  2. Step 2: Convert to fraction form
    175,997.25/360,195.75 = 360,195.75/x
  3. Step 3: Cross multiply
    175,997.25x = 360,195.75 × 360,195.75
  4. Step 4: Simplify right side
    175,997.25x = 129,740,978,318.06
  5. Step 5: Solve for x
    x = 129,740,978,318.06/175,997.25
  6. Step 6: Final answer
    x = 737,176.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.