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Finding the Third Proportional to 167,340 and 367,743

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Solution

The third proportional to 167,340 and 367,743 is: 808,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,340 : 367,743 = 367,743 : x
  2. Step 2: Convert to fraction form
    167,340/367,743 = 367,743/x
  3. Step 3: Cross multiply
    167,340x = 367,743 × 367,743
  4. Step 4: Simplify right side
    167,340x = 135,234,914,049
  5. Step 5: Solve for x
    x = 135,234,914,049/167,340
  6. Step 6: Final answer
    x = 808,144.58

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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.