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Finding the Third Proportional to 165,267 and 339,246

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Solution

The third proportional to 165,267 and 339,246 is: 696,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,267 : 339,246 = 339,246 : x
  2. Step 2: Convert to fraction form
    165,267/339,246 = 339,246/x
  3. Step 3: Cross multiply
    165,267x = 339,246 × 339,246
  4. Step 4: Simplify right side
    165,267x = 115,087,848,516
  5. Step 5: Solve for x
    x = 115,087,848,516/165,267
  6. Step 6: Final answer
    x = 696,375.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.