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Finding the Third Proportional to 192,950 and 400,450

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Solution

The third proportional to 192,950 and 400,450 is: 831,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,950 : 400,450 = 400,450 : x
  2. Step 2: Convert to fraction form
    192,950/400,450 = 400,450/x
  3. Step 3: Cross multiply
    192,950x = 400,450 × 400,450
  4. Step 4: Simplify right side
    192,950x = 160,360,202,500
  5. Step 5: Solve for x
    x = 160,360,202,500/192,950
  6. Step 6: Final answer
    x = 831,097.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.