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Finding the Third Proportional to 165,675 and 262,755

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Solution

The third proportional to 165,675 and 262,755 is: 416,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,675 : 262,755 = 262,755 : x
  2. Step 2: Convert to fraction form
    165,675/262,755 = 262,755/x
  3. Step 3: Cross multiply
    165,675x = 262,755 × 262,755
  4. Step 4: Simplify right side
    165,675x = 69,040,190,025
  5. Step 5: Solve for x
    x = 69,040,190,025/165,675
  6. Step 6: Final answer
    x = 416,720.63

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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.