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Finding the Third Proportional to 151,727.25 and 227,979.75

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Solution

The third proportional to 151,727.25 and 227,979.75 is: 342,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,727.25 : 227,979.75 = 227,979.75 : x
  2. Step 2: Convert to fraction form
    151,727.25/227,979.75 = 227,979.75/x
  3. Step 3: Cross multiply
    151,727.25x = 227,979.75 × 227,979.75
  4. Step 4: Simplify right side
    151,727.25x = 51,974,766,410.06
  5. Step 5: Solve for x
    x = 51,974,766,410.06/151,727.25
  6. Step 6: Final answer
    x = 342,553.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.