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Finding the Third Proportional to 180,282.75 and 275,190.75

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Solution

The third proportional to 180,282.75 and 275,190.75 is: 420,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,282.75 : 275,190.75 = 275,190.75 : x
  2. Step 2: Convert to fraction form
    180,282.75/275,190.75 = 275,190.75/x
  3. Step 3: Cross multiply
    180,282.75x = 275,190.75 × 275,190.75
  4. Step 4: Simplify right side
    180,282.75x = 75,729,948,885.56
  5. Step 5: Solve for x
    x = 75,729,948,885.56/180,282.75
  6. Step 6: Final answer
    x = 420,062.09

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