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Finding the Third Proportional to 165,676 and 259,175

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Solution

The third proportional to 165,676 and 259,175 is: 405,440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,676 : 259,175 = 259,175 : x
  2. Step 2: Convert to fraction form
    165,676/259,175 = 259,175/x
  3. Step 3: Cross multiply
    165,676x = 259,175 × 259,175
  4. Step 4: Simplify right side
    165,676x = 67,171,680,625
  5. Step 5: Solve for x
    x = 67,171,680,625/165,676
  6. Step 6: Final answer
    x = 405,440.02

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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.