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Finding the Third Proportional to 233,982 and 353,067

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Solution

The third proportional to 233,982 and 353,067 is: 532,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,982 : 353,067 = 353,067 : x
  2. Step 2: Convert to fraction form
    233,982/353,067 = 353,067/x
  3. Step 3: Cross multiply
    233,982x = 353,067 × 353,067
  4. Step 4: Simplify right side
    233,982x = 124,656,306,489
  5. Step 5: Solve for x
    x = 124,656,306,489/233,982
  6. Step 6: Final answer
    x = 532,760.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.