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Finding the Third Proportional to 196,176.75 and 276,255.75

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Solution

The third proportional to 196,176.75 and 276,255.75 is: 389,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,176.75 : 276,255.75 = 276,255.75 : x
  2. Step 2: Convert to fraction form
    196,176.75/276,255.75 = 276,255.75/x
  3. Step 3: Cross multiply
    196,176.75x = 276,255.75 × 276,255.75
  4. Step 4: Simplify right side
    196,176.75x = 76,317,239,408.06
  5. Step 5: Solve for x
    x = 76,317,239,408.06/196,176.75
  6. Step 6: Final answer
    x = 389,022.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.