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Finding the Third Proportional to 165,969 and 259,321

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Solution

The third proportional to 165,969 and 259,321 is: 405,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969 : 259,321 = 259,321 : x
  2. Step 2: Convert to fraction form
    165,969/259,321 = 259,321/x
  3. Step 3: Cross multiply
    165,969x = 259,321 × 259,321
  4. Step 4: Simplify right side
    165,969x = 67,247,381,041
  5. Step 5: Solve for x
    x = 67,247,381,041/165,969
  6. Step 6: Final answer
    x = 405,180.37

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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.