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Finding the Third Proportional to 69,617.25 and 150,350.63

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Solution

The third proportional to 69,617.25 and 150,350.63 is: 324,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,617.25 : 150,350.63 = 150,350.63 : x
  2. Step 2: Convert to fraction form
    69,617.25/150,350.63 = 150,350.63/x
  3. Step 3: Cross multiply
    69,617.25x = 150,350.63 × 150,350.63
  4. Step 4: Simplify right side
    69,617.25x = 22,605,310,437.89
  5. Step 5: Solve for x
    x = 22,605,310,437.89/69,617.25
  6. Step 6: Final answer
    x = 324,708.47

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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.