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Finding the Third Proportional to 151,723 and 227,974

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Solution

The third proportional to 151,723 and 227,974 is: 342,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,723 : 227,974 = 227,974 : x
  2. Step 2: Convert to fraction form
    151,723/227,974 = 227,974/x
  3. Step 3: Cross multiply
    151,723x = 227,974 × 227,974
  4. Step 4: Simplify right side
    151,723x = 51,972,144,676
  5. Step 5: Solve for x
    x = 51,972,144,676/151,723
  6. Step 6: Final answer
    x = 342,546.25

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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.