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Finding the Third Proportional to 165,809 and 262,949

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Solution

The third proportional to 165,809 and 262,949 is: 416,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,809 : 262,949 = 262,949 : x
  2. Step 2: Convert to fraction form
    165,809/262,949 = 262,949/x
  3. Step 3: Cross multiply
    165,809x = 262,949 × 262,949
  4. Step 4: Simplify right side
    165,809x = 69,142,176,601
  5. Step 5: Solve for x
    x = 69,142,176,601/165,809
  6. Step 6: Final answer
    x = 416,998.94

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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.