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Finding the Third Proportional to 202,340 and 443,225

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Solution

The third proportional to 202,340 and 443,225 is: 970,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,340 : 443,225 = 443,225 : x
  2. Step 2: Convert to fraction form
    202,340/443,225 = 443,225/x
  3. Step 3: Cross multiply
    202,340x = 443,225 × 443,225
  4. Step 4: Simplify right side
    202,340x = 196,448,400,625
  5. Step 5: Solve for x
    x = 196,448,400,625/202,340
  6. Step 6: Final answer
    x = 970,882.68

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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.