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Finding the Third Proportional to 84,694 and 167,262

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Solution

The third proportional to 84,694 and 167,262 is: 330,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,694 : 167,262 = 167,262 : x
  2. Step 2: Convert to fraction form
    84,694/167,262 = 167,262/x
  3. Step 3: Cross multiply
    84,694x = 167,262 × 167,262
  4. Step 4: Simplify right side
    84,694x = 27,976,576,644
  5. Step 5: Solve for x
    x = 27,976,576,644/84,694
  6. Step 6: Final answer
    x = 330,325.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.