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Finding the Third Proportional to 167,187.75 and 259,165.25

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Solution

The third proportional to 167,187.75 and 259,165.25 is: 401,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,187.75 : 259,165.25 = 259,165.25 : x
  2. Step 2: Convert to fraction form
    167,187.75/259,165.25 = 259,165.25/x
  3. Step 3: Cross multiply
    167,187.75x = 259,165.25 × 259,165.25
  4. Step 4: Simplify right side
    167,187.75x = 67,166,626,807.56
  5. Step 5: Solve for x
    x = 67,166,626,807.56/167,187.75
  6. Step 6: Final answer
    x = 401,743.71

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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.