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Finding the Third Proportional to 167,187 and 259,164

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Solution

The third proportional to 167,187 and 259,164 is: 401,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,187 : 259,164 = 259,164 : x
  2. Step 2: Convert to fraction form
    167,187/259,164 = 259,164/x
  3. Step 3: Cross multiply
    167,187x = 259,164 × 259,164
  4. Step 4: Simplify right side
    167,187x = 67,165,978,896
  5. Step 5: Solve for x
    x = 67,165,978,896/167,187
  6. Step 6: Final answer
    x = 401,741.64

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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.