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Finding the Third Proportional to 167,206 and 363,937

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Solution

The third proportional to 167,206 and 363,937 is: 792,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,206 : 363,937 = 363,937 : x
  2. Step 2: Convert to fraction form
    167,206/363,937 = 363,937/x
  3. Step 3: Cross multiply
    167,206x = 363,937 × 363,937
  4. Step 4: Simplify right side
    167,206x = 132,450,139,969
  5. Step 5: Solve for x
    x = 132,450,139,969/167,206
  6. Step 6: Final answer
    x = 792,137.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.