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Finding the Third Proportional to 165,601 and 262,652

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Solution

The third proportional to 165,601 and 262,652 is: 416,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,601 : 262,652 = 262,652 : x
  2. Step 2: Convert to fraction form
    165,601/262,652 = 262,652/x
  3. Step 3: Cross multiply
    165,601x = 262,652 × 262,652
  4. Step 4: Simplify right side
    165,601x = 68,986,073,104
  5. Step 5: Solve for x
    x = 68,986,073,104/165,601
  6. Step 6: Final answer
    x = 416,580.05

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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.