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Finding the Third Proportional to 167,844 and 256,149

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Solution

The third proportional to 167,844 and 256,149 is: 390,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,844 : 256,149 = 256,149 : x
  2. Step 2: Convert to fraction form
    167,844/256,149 = 256,149/x
  3. Step 3: Cross multiply
    167,844x = 256,149 × 256,149
  4. Step 4: Simplify right side
    167,844x = 65,612,310,201
  5. Step 5: Solve for x
    x = 65,612,310,201/167,844
  6. Step 6: Final answer
    x = 390,912.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.