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Finding the Third Proportional to 234.56 and 306.84

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Solution

The third proportional to 234.56 and 306.84 is: 401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 306.84 = 306.84 : x
  2. Step 2: Convert to fraction form
    234.56/306.84 = 306.84/x
  3. Step 3: Cross multiply
    234.56x = 306.84 × 306.84
  4. Step 4: Simplify right side
    234.56x = 94,153.09
  5. Step 5: Solve for x
    x = 94,153.09/234.56
  6. Step 6: Final answer
    x = 401.40

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.