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Finding the Third Proportional to 150,067.69 and 228,912.75

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Solution

The third proportional to 150,067.69 and 228,912.75 is: 349,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,067.69 : 228,912.75 = 228,912.75 : x
  2. Step 2: Convert to fraction form
    150,067.69/228,912.75 = 228,912.75/x
  3. Step 3: Cross multiply
    150,067.69x = 228,912.75 × 228,912.75
  4. Step 4: Simplify right side
    150,067.69x = 52,401,047,112.56
  5. Step 5: Solve for x
    x = 52,401,047,112.56/150,067.69
  6. Step 6: Final answer
    x = 349,182.75

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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.