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Finding the Third Proportional to 202,352 and 443,249

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Solution

The third proportional to 202,352 and 443,249 is: 970,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,352 : 443,249 = 443,249 : x
  2. Step 2: Convert to fraction form
    202,352/443,249 = 443,249/x
  3. Step 3: Cross multiply
    202,352x = 443,249 × 443,249
  4. Step 4: Simplify right side
    202,352x = 196,469,676,001
  5. Step 5: Solve for x
    x = 196,469,676,001/202,352
  6. Step 6: Final answer
    x = 970,930.24

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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.