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Finding the Third Proportional to 167,286 and 368,268

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Solution

The third proportional to 167,286 and 368,268 is: 810,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,286 : 368,268 = 368,268 : x
  2. Step 2: Convert to fraction form
    167,286/368,268 = 368,268/x
  3. Step 3: Cross multiply
    167,286x = 368,268 × 368,268
  4. Step 4: Simplify right side
    167,286x = 135,621,319,824
  5. Step 5: Solve for x
    x = 135,621,319,824/167,286
  6. Step 6: Final answer
    x = 810,715.30

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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.