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Finding the Third Proportional to 167,958 and 368,680

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Solution

The third proportional to 167,958 and 368,680 is: 809,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,958 : 368,680 = 368,680 : x
  2. Step 2: Convert to fraction form
    167,958/368,680 = 368,680/x
  3. Step 3: Cross multiply
    167,958x = 368,680 × 368,680
  4. Step 4: Simplify right side
    167,958x = 135,924,942,400
  5. Step 5: Solve for x
    x = 135,924,942,400/167,958
  6. Step 6: Final answer
    x = 809,279.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.