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Finding the Third Proportional to 167,212 and 259,018

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Solution

The third proportional to 167,212 and 259,018 is: 401,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,212 : 259,018 = 259,018 : x
  2. Step 2: Convert to fraction form
    167,212/259,018 = 259,018/x
  3. Step 3: Cross multiply
    167,212x = 259,018 × 259,018
  4. Step 4: Simplify right side
    167,212x = 67,090,324,324
  5. Step 5: Solve for x
    x = 67,090,324,324/167,212
  6. Step 6: Final answer
    x = 401,229.12

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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.