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Finding the Third Proportional to 202,341 and 443,227

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Solution

The third proportional to 202,341 and 443,227 is: 970,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,341 : 443,227 = 443,227 : x
  2. Step 2: Convert to fraction form
    202,341/443,227 = 443,227/x
  3. Step 3: Cross multiply
    202,341x = 443,227 × 443,227
  4. Step 4: Simplify right side
    202,341x = 196,450,173,529
  5. Step 5: Solve for x
    x = 196,450,173,529/202,341
  6. Step 6: Final answer
    x = 970,886.64

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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.