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Finding the Third Proportional to 69,546.75 and 150,180.75

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Solution

The third proportional to 69,546.75 and 150,180.75 is: 324,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,546.75 : 150,180.75 = 150,180.75 : x
  2. Step 2: Convert to fraction form
    69,546.75/150,180.75 = 150,180.75/x
  3. Step 3: Cross multiply
    69,546.75x = 150,180.75 × 150,180.75
  4. Step 4: Simplify right side
    69,546.75x = 22,554,257,670.56
  5. Step 5: Solve for x
    x = 22,554,257,670.56/69,546.75
  6. Step 6: Final answer
    x = 324,303.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.