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Finding the Third Proportional to 175,990.50 and 252,198

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Solution

The third proportional to 175,990.50 and 252,198 is: 361,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,990.50 : 252,198 = 252,198 : x
  2. Step 2: Convert to fraction form
    175,990.50/252,198 = 252,198/x
  3. Step 3: Cross multiply
    175,990.50x = 252,198 × 252,198
  4. Step 4: Simplify right side
    175,990.50x = 63,603,831,204
  5. Step 5: Solve for x
    x = 63,603,831,204/175,990.50
  6. Step 6: Final answer
    x = 361,404.91

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.