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Finding the Third Proportional to 271,192.50 and 419,910.75

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Solution

The third proportional to 271,192.50 and 419,910.75 is: 650,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,192.50 : 419,910.75 = 419,910.75 : x
  2. Step 2: Convert to fraction form
    271,192.50/419,910.75 = 419,910.75/x
  3. Step 3: Cross multiply
    271,192.50x = 419,910.75 × 419,910.75
  4. Step 4: Simplify right side
    271,192.50x = 176,325,037,965.56
  5. Step 5: Solve for x
    x = 176,325,037,965.56/271,192.50
  6. Step 6: Final answer
    x = 650,184.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.