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Finding the Third Proportional to 165,200 and 262,568

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Solution

The third proportional to 165,200 and 262,568 is: 417,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,200 : 262,568 = 262,568 : x
  2. Step 2: Convert to fraction form
    165,200/262,568 = 262,568/x
  3. Step 3: Cross multiply
    165,200x = 262,568 × 262,568
  4. Step 4: Simplify right side
    165,200x = 68,941,954,624
  5. Step 5: Solve for x
    x = 68,941,954,624/165,200
  6. Step 6: Final answer
    x = 417,324.18

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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.