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Finding the Third Proportional to 202,531 and 443,204

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Solution

The third proportional to 202,531 and 443,204 is: 969,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,531 : 443,204 = 443,204 : x
  2. Step 2: Convert to fraction form
    202,531/443,204 = 443,204/x
  3. Step 3: Cross multiply
    202,531x = 443,204 × 443,204
  4. Step 4: Simplify right side
    202,531x = 196,429,785,616
  5. Step 5: Solve for x
    x = 196,429,785,616/202,531
  6. Step 6: Final answer
    x = 969,875.16

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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.