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Finding the Third Proportional to 167,204.25 and 363,933

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Solution

The third proportional to 167,204.25 and 363,933 is: 792,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,204.25 : 363,933 = 363,933 : x
  2. Step 2: Convert to fraction form
    167,204.25/363,933 = 363,933/x
  3. Step 3: Cross multiply
    167,204.25x = 363,933 × 363,933
  4. Step 4: Simplify right side
    167,204.25x = 132,447,228,489
  5. Step 5: Solve for x
    x = 132,447,228,489/167,204.25
  6. Step 6: Final answer
    x = 792,128.36

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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.