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Finding the Third Proportional to 200,892 and 303,930

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Solution

The third proportional to 200,892 and 303,930 is: 459,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,892 : 303,930 = 303,930 : x
  2. Step 2: Convert to fraction form
    200,892/303,930 = 303,930/x
  3. Step 3: Cross multiply
    200,892x = 303,930 × 303,930
  4. Step 4: Simplify right side
    200,892x = 92,373,444,900
  5. Step 5: Solve for x
    x = 92,373,444,900/200,892
  6. Step 6: Final answer
    x = 459,816.44

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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.