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Finding the Third Proportional to 175,144.50 and 270,918

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Solution

The third proportional to 175,144.50 and 270,918 is: 419,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,144.50 : 270,918 = 270,918 : x
  2. Step 2: Convert to fraction form
    175,144.50/270,918 = 270,918/x
  3. Step 3: Cross multiply
    175,144.50x = 270,918 × 270,918
  4. Step 4: Simplify right side
    175,144.50x = 73,396,562,724
  5. Step 5: Solve for x
    x = 73,396,562,724/175,144.50
  6. Step 6: Final answer
    x = 419,062.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.