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Finding the Third Proportional to 175,220.50 and 268,086.75

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Solution

The third proportional to 175,220.50 and 268,086.75 is: 410,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,220.50 : 268,086.75 = 268,086.75 : x
  2. Step 2: Convert to fraction form
    175,220.50/268,086.75 = 268,086.75/x
  3. Step 3: Cross multiply
    175,220.50x = 268,086.75 × 268,086.75
  4. Step 4: Simplify right side
    175,220.50x = 71,870,505,525.56
  5. Step 5: Solve for x
    x = 71,870,505,525.56/175,220.50
  6. Step 6: Final answer
    x = 410,171.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.