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Finding the Third Proportional to 69,268 and 150,344

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Solution

The third proportional to 69,268 and 150,344 is: 326,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,268 : 150,344 = 150,344 : x
  2. Step 2: Convert to fraction form
    69,268/150,344 = 150,344/x
  3. Step 3: Cross multiply
    69,268x = 150,344 × 150,344
  4. Step 4: Simplify right side
    69,268x = 22,603,318,336
  5. Step 5: Solve for x
    x = 22,603,318,336/69,268
  6. Step 6: Final answer
    x = 326,316.89

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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.