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Finding the Third Proportional to 119,344 and 167,298

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Solution

The third proportional to 119,344 and 167,298 is: 234,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,344 : 167,298 = 167,298 : x
  2. Step 2: Convert to fraction form
    119,344/167,298 = 167,298/x
  3. Step 3: Cross multiply
    119,344x = 167,298 × 167,298
  4. Step 4: Simplify right side
    119,344x = 27,988,620,804
  5. Step 5: Solve for x
    x = 27,988,620,804/119,344
  6. Step 6: Final answer
    x = 234,520.55

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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.