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Finding the Third Proportional to 165,366 and 262,192

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Solution

The third proportional to 165,366 and 262,192 is: 415,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,366 : 262,192 = 262,192 : x
  2. Step 2: Convert to fraction form
    165,366/262,192 = 262,192/x
  3. Step 3: Cross multiply
    165,366x = 262,192 × 262,192
  4. Step 4: Simplify right side
    165,366x = 68,744,644,864
  5. Step 5: Solve for x
    x = 68,744,644,864/165,366
  6. Step 6: Final answer
    x = 415,712.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.