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Finding the Third Proportional to 202,467 and 443,067

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Solution

The third proportional to 202,467 and 443,067 is: 969,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,467 : 443,067 = 443,067 : x
  2. Step 2: Convert to fraction form
    202,467/443,067 = 443,067/x
  3. Step 3: Cross multiply
    202,467x = 443,067 × 443,067
  4. Step 4: Simplify right side
    202,467x = 196,308,366,489
  5. Step 5: Solve for x
    x = 196,308,366,489/202,467
  6. Step 6: Final answer
    x = 969,582.04

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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.