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Finding the Third Proportional to 167,816 and 259,266

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Solution

The third proportional to 167,816 and 259,266 is: 400,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,816 : 259,266 = 259,266 : x
  2. Step 2: Convert to fraction form
    167,816/259,266 = 259,266/x
  3. Step 3: Cross multiply
    167,816x = 259,266 × 259,266
  4. Step 4: Simplify right side
    167,816x = 67,218,858,756
  5. Step 5: Solve for x
    x = 67,218,858,756/167,816
  6. Step 6: Final answer
    x = 400,550.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.