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Finding the Third Proportional to 165,372 and 363,144

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Solution

The third proportional to 165,372 and 363,144 is: 797,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,372 : 363,144 = 363,144 : x
  2. Step 2: Convert to fraction form
    165,372/363,144 = 363,144/x
  3. Step 3: Cross multiply
    165,372x = 363,144 × 363,144
  4. Step 4: Simplify right side
    165,372x = 131,873,564,736
  5. Step 5: Solve for x
    x = 131,873,564,736/165,372
  6. Step 6: Final answer
    x = 797,435.87

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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.