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Finding the Third Proportional to 69,268 and 151,496

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Solution

The third proportional to 69,268 and 151,496 is: 331,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,268 : 151,496 = 151,496 : x
  2. Step 2: Convert to fraction form
    69,268/151,496 = 151,496/x
  3. Step 3: Cross multiply
    69,268x = 151,496 × 151,496
  4. Step 4: Simplify right side
    69,268x = 22,951,038,016
  5. Step 5: Solve for x
    x = 22,951,038,016/69,268
  6. Step 6: Final answer
    x = 331,336.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.