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Finding the Third Proportional to 119,321 and 167,249

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Solution

The third proportional to 119,321 and 167,249 is: 234,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,321 : 167,249 = 167,249 : x
  2. Step 2: Convert to fraction form
    119,321/167,249 = 167,249/x
  3. Step 3: Cross multiply
    119,321x = 167,249 × 167,249
  4. Step 4: Simplify right side
    119,321x = 27,972,228,001
  5. Step 5: Solve for x
    x = 27,972,228,001/119,321
  6. Step 6: Final answer
    x = 234,428.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.