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Finding the Third Proportional to 167,210 and 259,198.75

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Solution

The third proportional to 167,210 and 259,198.75 is: 401,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,210 : 259,198.75 = 259,198.75 : x
  2. Step 2: Convert to fraction form
    167,210/259,198.75 = 259,198.75/x
  3. Step 3: Cross multiply
    167,210x = 259,198.75 × 259,198.75
  4. Step 4: Simplify right side
    167,210x = 67,183,992,001.56
  5. Step 5: Solve for x
    x = 67,183,992,001.56/167,210
  6. Step 6: Final answer
    x = 401,794.10

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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.