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Finding the Third Proportional to 167,053.50 and 259,067.25

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Solution

The third proportional to 167,053.50 and 259,067.25 is: 401,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,053.50 : 259,067.25 = 259,067.25 : x
  2. Step 2: Convert to fraction form
    167,053.50/259,067.25 = 259,067.25/x
  3. Step 3: Cross multiply
    167,053.50x = 259,067.25 × 259,067.25
  4. Step 4: Simplify right side
    167,053.50x = 67,115,840,022.56
  5. Step 5: Solve for x
    x = 67,115,840,022.56/167,053.50
  6. Step 6: Final answer
    x = 401,762.55

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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.