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Finding the Third Proportional to 213,892 and 244,996

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Solution

The third proportional to 213,892 and 244,996 is: 280,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,892 : 244,996 = 244,996 : x
  2. Step 2: Convert to fraction form
    213,892/244,996 = 244,996/x
  3. Step 3: Cross multiply
    213,892x = 244,996 × 244,996
  4. Step 4: Simplify right side
    213,892x = 60,023,040,016
  5. Step 5: Solve for x
    x = 60,023,040,016/213,892
  6. Step 6: Final answer
    x = 280,623.12

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.