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Finding the Third Proportional to 69,568 and 150,480

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Solution

The third proportional to 69,568 and 150,480 is: 325,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,568 : 150,480 = 150,480 : x
  2. Step 2: Convert to fraction form
    69,568/150,480 = 150,480/x
  3. Step 3: Cross multiply
    69,568x = 150,480 × 150,480
  4. Step 4: Simplify right side
    69,568x = 22,644,230,400
  5. Step 5: Solve for x
    x = 22,644,230,400/69,568
  6. Step 6: Final answer
    x = 325,497.79

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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.