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Finding the Third Proportional to 150,912.75 and 319,812.75

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Solution

The third proportional to 150,912.75 and 319,812.75 is: 677,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,912.75 : 319,812.75 = 319,812.75 : x
  2. Step 2: Convert to fraction form
    150,912.75/319,812.75 = 319,812.75/x
  3. Step 3: Cross multiply
    150,912.75x = 319,812.75 × 319,812.75
  4. Step 4: Simplify right side
    150,912.75x = 102,280,195,062.56
  5. Step 5: Solve for x
    x = 102,280,195,062.56/150,912.75
  6. Step 6: Final answer
    x = 677,743.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.