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Finding the Third Proportional to 200,892 and 440,325

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Solution

The third proportional to 200,892 and 440,325 is: 965,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,892 : 440,325 = 440,325 : x
  2. Step 2: Convert to fraction form
    200,892/440,325 = 440,325/x
  3. Step 3: Cross multiply
    200,892x = 440,325 × 440,325
  4. Step 4: Simplify right side
    200,892x = 193,886,105,625
  5. Step 5: Solve for x
    x = 193,886,105,625/200,892
  6. Step 6: Final answer
    x = 965,126.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.