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Finding the Third Proportional to 167,356 and 234,079

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Solution

The third proportional to 167,356 and 234,079 is: 327,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,356 : 234,079 = 234,079 : x
  2. Step 2: Convert to fraction form
    167,356/234,079 = 234,079/x
  3. Step 3: Cross multiply
    167,356x = 234,079 × 234,079
  4. Step 4: Simplify right side
    167,356x = 54,792,978,241
  5. Step 5: Solve for x
    x = 54,792,978,241/167,356
  6. Step 6: Final answer
    x = 327,403.73

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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.