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Finding the Third Proportional to 69,344 and 150,496

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Solution

The third proportional to 69,344 and 150,496 is: 326,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,344 : 150,496 = 150,496 : x
  2. Step 2: Convert to fraction form
    69,344/150,496 = 150,496/x
  3. Step 3: Cross multiply
    69,344x = 150,496 × 150,496
  4. Step 4: Simplify right side
    69,344x = 22,649,046,016
  5. Step 5: Solve for x
    x = 22,649,046,016/69,344
  6. Step 6: Final answer
    x = 326,618.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.