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Finding the Third Proportional to 151,721.25 and 227,970.75

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Solution

The third proportional to 151,721.25 and 227,970.75 is: 342,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,721.25 : 227,970.75 = 227,970.75 : x
  2. Step 2: Convert to fraction form
    151,721.25/227,970.75 = 227,970.75/x
  3. Step 3: Cross multiply
    151,721.25x = 227,970.75 × 227,970.75
  4. Step 4: Simplify right side
    151,721.25x = 51,970,662,855.56
  5. Step 5: Solve for x
    x = 51,970,662,855.56/151,721.25
  6. Step 6: Final answer
    x = 342,540.43

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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.