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Finding the Third Proportional to 189,861.75 and 267,027.75

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Solution

The third proportional to 189,861.75 and 267,027.75 is: 375,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,861.75 : 267,027.75 = 267,027.75 : x
  2. Step 2: Convert to fraction form
    189,861.75/267,027.75 = 267,027.75/x
  3. Step 3: Cross multiply
    189,861.75x = 267,027.75 × 267,027.75
  4. Step 4: Simplify right side
    189,861.75x = 71,303,819,270.06
  5. Step 5: Solve for x
    x = 71,303,819,270.06/189,861.75
  6. Step 6: Final answer
    x = 375,556.53

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