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Finding the Third Proportional to 167,194 and 259,173

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Solution

The third proportional to 167,194 and 259,173 is: 401,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,194 : 259,173 = 259,173 : x
  2. Step 2: Convert to fraction form
    167,194/259,173 = 259,173/x
  3. Step 3: Cross multiply
    167,194x = 259,173 × 259,173
  4. Step 4: Simplify right side
    167,194x = 67,170,643,929
  5. Step 5: Solve for x
    x = 67,170,643,929/167,194
  6. Step 6: Final answer
    x = 401,752.72

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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.