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Finding the Third Proportional to 202,339 and 443,223

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Solution

The third proportional to 202,339 and 443,223 is: 970,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,339 : 443,223 = 443,223 : x
  2. Step 2: Convert to fraction form
    202,339/443,223 = 443,223/x
  3. Step 3: Cross multiply
    202,339x = 443,223 × 443,223
  4. Step 4: Simplify right side
    202,339x = 196,446,627,729
  5. Step 5: Solve for x
    x = 196,446,627,729/202,339
  6. Step 6: Final answer
    x = 970,878.71

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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.