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Finding the Third Proportional to 199,530 and 443,349

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Solution

The third proportional to 199,530 and 443,349 is: 985,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,530 : 443,349 = 443,349 : x
  2. Step 2: Convert to fraction form
    199,530/443,349 = 443,349/x
  3. Step 3: Cross multiply
    199,530x = 443,349 × 443,349
  4. Step 4: Simplify right side
    199,530x = 196,558,335,801
  5. Step 5: Solve for x
    x = 196,558,335,801/199,530
  6. Step 6: Final answer
    x = 985,106.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.