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Finding the Third Proportional to 134,638 and 283,204

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Solution

The third proportional to 134,638 and 283,204 is: 595,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,638 : 283,204 = 283,204 : x
  2. Step 2: Convert to fraction form
    134,638/283,204 = 283,204/x
  3. Step 3: Cross multiply
    134,638x = 283,204 × 283,204
  4. Step 4: Simplify right side
    134,638x = 80,204,505,616
  5. Step 5: Solve for x
    x = 80,204,505,616/134,638
  6. Step 6: Final answer
    x = 595,704.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.