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Finding the Third Proportional to 167,214 and 259,021

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Solution

The third proportional to 167,214 and 259,021 is: 401,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,214 : 259,021 = 259,021 : x
  2. Step 2: Convert to fraction form
    167,214/259,021 = 259,021/x
  3. Step 3: Cross multiply
    167,214x = 259,021 × 259,021
  4. Step 4: Simplify right side
    167,214x = 67,091,878,441
  5. Step 5: Solve for x
    x = 67,091,878,441/167,214
  6. Step 6: Final answer
    x = 401,233.62

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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.