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Finding the Third Proportional to 184.31 and 276.56

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Solution

The third proportional to 184.31 and 276.56 is: 414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.31 : 276.56 = 276.56 : x
  2. Step 2: Convert to fraction form
    184.31/276.56 = 276.56/x
  3. Step 3: Cross multiply
    184.31x = 276.56 × 276.56
  4. Step 4: Simplify right side
    184.31x = 76,486.82
  5. Step 5: Solve for x
    x = 76,486.82/184.31
  6. Step 6: Final answer
    x = 414.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.