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Finding the Third Proportional to 173,777.25 and 231,732.75

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Solution

The third proportional to 173,777.25 and 231,732.75 is: 309,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,777.25 : 231,732.75 = 231,732.75 : x
  2. Step 2: Convert to fraction form
    173,777.25/231,732.75 = 231,732.75/x
  3. Step 3: Cross multiply
    173,777.25x = 231,732.75 × 231,732.75
  4. Step 4: Simplify right side
    173,777.25x = 53,700,067,422.56
  5. Step 5: Solve for x
    x = 53,700,067,422.56/173,777.25
  6. Step 6: Final answer
    x = 309,016.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.