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Finding the Third Proportional to 189,492.75 and 276,846.75

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Solution

The third proportional to 189,492.75 and 276,846.75 is: 404,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,492.75 : 276,846.75 = 276,846.75 : x
  2. Step 2: Convert to fraction form
    189,492.75/276,846.75 = 276,846.75/x
  3. Step 3: Cross multiply
    189,492.75x = 276,846.75 × 276,846.75
  4. Step 4: Simplify right side
    189,492.75x = 76,644,122,985.56
  5. Step 5: Solve for x
    x = 76,644,122,985.56/189,492.75
  6. Step 6: Final answer
    x = 404,469.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.