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Finding the Third Proportional to 165,586 and 262,629

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Solution

The third proportional to 165,586 and 262,629 is: 416,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,586 : 262,629 = 262,629 : x
  2. Step 2: Convert to fraction form
    165,586/262,629 = 262,629/x
  3. Step 3: Cross multiply
    165,586x = 262,629 × 262,629
  4. Step 4: Simplify right side
    165,586x = 68,973,991,641
  5. Step 5: Solve for x
    x = 68,973,991,641/165,586
  6. Step 6: Final answer
    x = 416,544.83

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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.