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Finding the Third Proportional to 199,183.50 and 466,611.75

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Solution

The third proportional to 199,183.50 and 466,611.75 is: 1,093,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,183.50 : 466,611.75 = 466,611.75 : x
  2. Step 2: Convert to fraction form
    199,183.50/466,611.75 = 466,611.75/x
  3. Step 3: Cross multiply
    199,183.50x = 466,611.75 × 466,611.75
  4. Step 4: Simplify right side
    199,183.50x = 217,726,525,238.06
  5. Step 5: Solve for x
    x = 217,726,525,238.06/199,183.50
  6. Step 6: Final answer
    x = 1,093,095.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.