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Finding the Third Proportional to 110,892 and 243,924

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Solution

The third proportional to 110,892 and 243,924 is: 536,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,892 : 243,924 = 243,924 : x
  2. Step 2: Convert to fraction form
    110,892/243,924 = 243,924/x
  3. Step 3: Cross multiply
    110,892x = 243,924 × 243,924
  4. Step 4: Simplify right side
    110,892x = 59,498,917,776
  5. Step 5: Solve for x
    x = 59,498,917,776/110,892
  6. Step 6: Final answer
    x = 536,548.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.