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Finding the Third Proportional to 133,978 and 178,601

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Solution

The third proportional to 133,978 and 178,601 is: 238,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,978 : 178,601 = 178,601 : x
  2. Step 2: Convert to fraction form
    133,978/178,601 = 178,601/x
  3. Step 3: Cross multiply
    133,978x = 178,601 × 178,601
  4. Step 4: Simplify right side
    133,978x = 31,898,317,201
  5. Step 5: Solve for x
    x = 31,898,317,201/133,978
  6. Step 6: Final answer
    x = 238,086.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.