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Finding the Third Proportional to 192,759.50 and 417,697

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Solution

The third proportional to 192,759.50 and 417,697 is: 905,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,759.50 : 417,697 = 417,697 : x
  2. Step 2: Convert to fraction form
    192,759.50/417,697 = 417,697/x
  3. Step 3: Cross multiply
    192,759.50x = 417,697 × 417,697
  4. Step 4: Simplify right side
    192,759.50x = 174,470,783,809
  5. Step 5: Solve for x
    x = 174,470,783,809/192,759.50
  6. Step 6: Final answer
    x = 905,121.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.