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Finding the Third Proportional to 165,967 and 259,318

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Solution

The third proportional to 165,967 and 259,318 is: 405,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,967 : 259,318 = 259,318 : x
  2. Step 2: Convert to fraction form
    165,967/259,318 = 259,318/x
  3. Step 3: Cross multiply
    165,967x = 259,318 × 259,318
  4. Step 4: Simplify right side
    165,967x = 67,245,825,124
  5. Step 5: Solve for x
    x = 67,245,825,124/165,967
  6. Step 6: Final answer
    x = 405,175.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.