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Finding the Third Proportional to 168,629.75 and 259,199.50

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Solution

The third proportional to 168,629.75 and 259,199.50 is: 398,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,629.75 : 259,199.50 = 259,199.50 : x
  2. Step 2: Convert to fraction form
    168,629.75/259,199.50 = 259,199.50/x
  3. Step 3: Cross multiply
    168,629.75x = 259,199.50 × 259,199.50
  4. Step 4: Simplify right side
    168,629.75x = 67,184,380,800.25
  5. Step 5: Solve for x
    x = 67,184,380,800.25/168,629.75
  6. Step 6: Final answer
    x = 398,413.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.