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Finding the Third Proportional to 167,356.50 and 234,081

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Solution

The third proportional to 167,356.50 and 234,081 is: 327,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,356.50 : 234,081 = 234,081 : x
  2. Step 2: Convert to fraction form
    167,356.50/234,081 = 234,081/x
  3. Step 3: Cross multiply
    167,356.50x = 234,081 × 234,081
  4. Step 4: Simplify right side
    167,356.50x = 54,793,914,561
  5. Step 5: Solve for x
    x = 54,793,914,561/167,356.50
  6. Step 6: Final answer
    x = 327,408.34

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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.