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Finding the Third Proportional to 159,471 and 246,923

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Solution

The third proportional to 159,471 and 246,923 is: 382,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,471 : 246,923 = 246,923 : x
  2. Step 2: Convert to fraction form
    159,471/246,923 = 246,923/x
  3. Step 3: Cross multiply
    159,471x = 246,923 × 246,923
  4. Step 4: Simplify right side
    159,471x = 60,970,967,929
  5. Step 5: Solve for x
    x = 60,970,967,929/159,471
  6. Step 6: Final answer
    x = 382,332.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.