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Finding the Third Proportional to 110,966 and 230,992

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Solution

The third proportional to 110,966 and 230,992 is: 480,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,966 : 230,992 = 230,992 : x
  2. Step 2: Convert to fraction form
    110,966/230,992 = 230,992/x
  3. Step 3: Cross multiply
    110,966x = 230,992 × 230,992
  4. Step 4: Simplify right side
    110,966x = 53,357,304,064
  5. Step 5: Solve for x
    x = 53,357,304,064/110,966
  6. Step 6: Final answer
    x = 480,843.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.