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Finding the Third Proportional to 167,836 and 364,112

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Solution

The third proportional to 167,836 and 364,112 is: 789,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,836 : 364,112 = 364,112 : x
  2. Step 2: Convert to fraction form
    167,836/364,112 = 364,112/x
  3. Step 3: Cross multiply
    167,836x = 364,112 × 364,112
  4. Step 4: Simplify right side
    167,836x = 132,577,548,544
  5. Step 5: Solve for x
    x = 132,577,548,544/167,836
  6. Step 6: Final answer
    x = 789,923.19

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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.