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Finding the Third Proportional to 135,327.38 and 190,687.50

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Solution

The third proportional to 135,327.38 and 190,687.50 is: 268,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,327.38 : 190,687.50 = 190,687.50 : x
  2. Step 2: Convert to fraction form
    135,327.38/190,687.50 = 190,687.50/x
  3. Step 3: Cross multiply
    135,327.38x = 190,687.50 × 190,687.50
  4. Step 4: Simplify right side
    135,327.38x = 36,361,722,656.25
  5. Step 5: Solve for x
    x = 36,361,722,656.25/135,327.38
  6. Step 6: Final answer
    x = 268,694.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.