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Finding the Third Proportional to 188,892 and 261,805

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Solution

The third proportional to 188,892 and 261,805 is: 362,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,892 : 261,805 = 261,805 : x
  2. Step 2: Convert to fraction form
    188,892/261,805 = 261,805/x
  3. Step 3: Cross multiply
    188,892x = 261,805 × 261,805
  4. Step 4: Simplify right side
    188,892x = 68,541,858,025
  5. Step 5: Solve for x
    x = 68,541,858,025/188,892
  6. Step 6: Final answer
    x = 362,862.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.