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Finding the Third Proportional to 167,002 and 363,975

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Solution

The third proportional to 167,002 and 363,975 is: 793,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,002 : 363,975 = 363,975 : x
  2. Step 2: Convert to fraction form
    167,002/363,975 = 363,975/x
  3. Step 3: Cross multiply
    167,002x = 363,975 × 363,975
  4. Step 4: Simplify right side
    167,002x = 132,477,800,625
  5. Step 5: Solve for x
    x = 132,477,800,625/167,002
  6. Step 6: Final answer
    x = 793,270.74

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