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Finding the Third Proportional to 150,651.75 and 227,517.75

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Solution

The third proportional to 150,651.75 and 227,517.75 is: 343,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,651.75 : 227,517.75 = 227,517.75 : x
  2. Step 2: Convert to fraction form
    150,651.75/227,517.75 = 227,517.75/x
  3. Step 3: Cross multiply
    150,651.75x = 227,517.75 × 227,517.75
  4. Step 4: Simplify right side
    150,651.75x = 51,764,326,565.06
  5. Step 5: Solve for x
    x = 51,764,326,565.06/150,651.75
  6. Step 6: Final answer
    x = 343,602.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.