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Finding the Third Proportional to 150,214.50 and 232,512.75

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Solution

The third proportional to 150,214.50 and 232,512.75 is: 359,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,214.50 : 232,512.75 = 232,512.75 : x
  2. Step 2: Convert to fraction form
    150,214.50/232,512.75 = 232,512.75/x
  3. Step 3: Cross multiply
    150,214.50x = 232,512.75 × 232,512.75
  4. Step 4: Simplify right side
    150,214.50x = 54,062,178,912.56
  5. Step 5: Solve for x
    x = 54,062,178,912.56/150,214.50
  6. Step 6: Final answer
    x = 359,899.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.