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Finding the Third Proportional to 167,844 and 364,128

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Solution

The third proportional to 167,844 and 364,128 is: 789,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,844 : 364,128 = 364,128 : x
  2. Step 2: Convert to fraction form
    167,844/364,128 = 364,128/x
  3. Step 3: Cross multiply
    167,844x = 364,128 × 364,128
  4. Step 4: Simplify right side
    167,844x = 132,589,200,384
  5. Step 5: Solve for x
    x = 132,589,200,384/167,844
  6. Step 6: Final answer
    x = 789,954.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.