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Finding the Third Proportional to 126,588 and 196,266

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Solution

The third proportional to 126,588 and 196,266 is: 304,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,588 : 196,266 = 196,266 : x
  2. Step 2: Convert to fraction form
    126,588/196,266 = 196,266/x
  3. Step 3: Cross multiply
    126,588x = 196,266 × 196,266
  4. Step 4: Simplify right side
    126,588x = 38,520,342,756
  5. Step 5: Solve for x
    x = 38,520,342,756/126,588
  6. Step 6: Final answer
    x = 304,296.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.