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Finding the Third Proportional to 165,651.75 and 262,716.75

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Solution

The third proportional to 165,651.75 and 262,716.75 is: 416,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,651.75 : 262,716.75 = 262,716.75 : x
  2. Step 2: Convert to fraction form
    165,651.75/262,716.75 = 262,716.75/x
  3. Step 3: Cross multiply
    165,651.75x = 262,716.75 × 262,716.75
  4. Step 4: Simplify right side
    165,651.75x = 69,020,090,730.56
  5. Step 5: Solve for x
    x = 69,020,090,730.56/165,651.75
  6. Step 6: Final answer
    x = 416,657.78

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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.