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Finding the Third Proportional to 106,892 and 230,908

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Solution

The third proportional to 106,892 and 230,908 is: 498,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,892 : 230,908 = 230,908 : x
  2. Step 2: Convert to fraction form
    106,892/230,908 = 230,908/x
  3. Step 3: Cross multiply
    106,892x = 230,908 × 230,908
  4. Step 4: Simplify right side
    106,892x = 53,318,504,464
  5. Step 5: Solve for x
    x = 53,318,504,464/106,892
  6. Step 6: Final answer
    x = 498,807.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.