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Finding the Third Proportional to 129,942 and 283,698

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Solution

The third proportional to 129,942 and 283,698 is: 619,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,942 : 283,698 = 283,698 : x
  2. Step 2: Convert to fraction form
    129,942/283,698 = 283,698/x
  3. Step 3: Cross multiply
    129,942x = 283,698 × 283,698
  4. Step 4: Simplify right side
    129,942x = 80,484,555,204
  5. Step 5: Solve for x
    x = 80,484,555,204/129,942
  6. Step 6: Final answer
    x = 619,388.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.