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Finding the Third Proportional to 171,910.50 and 262,806.75

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Solution

The third proportional to 171,910.50 and 262,806.75 is: 401,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,910.50 : 262,806.75 = 262,806.75 : x
  2. Step 2: Convert to fraction form
    171,910.50/262,806.75 = 262,806.75/x
  3. Step 3: Cross multiply
    171,910.50x = 262,806.75 × 262,806.75
  4. Step 4: Simplify right side
    171,910.50x = 69,067,387,845.56
  5. Step 5: Solve for x
    x = 69,067,387,845.56/171,910.50
  6. Step 6: Final answer
    x = 401,763.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.