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Finding the Third Proportional to 202,564 and 443,268

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Solution

The third proportional to 202,564 and 443,268 is: 969,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,564 : 443,268 = 443,268 : x
  2. Step 2: Convert to fraction form
    202,564/443,268 = 443,268/x
  3. Step 3: Cross multiply
    202,564x = 443,268 × 443,268
  4. Step 4: Simplify right side
    202,564x = 196,486,519,824
  5. Step 5: Solve for x
    x = 196,486,519,824/202,564
  6. Step 6: Final answer
    x = 969,997.23

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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.