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Finding the Third Proportional to 230.06 and 333.56

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Solution

The third proportional to 230.06 and 333.56 is: 483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 333.56 = 333.56 : x
  2. Step 2: Convert to fraction form
    230.06/333.56 = 333.56/x
  3. Step 3: Cross multiply
    230.06x = 333.56 × 333.56
  4. Step 4: Simplify right side
    230.06x = 111,263.94
  5. Step 5: Solve for x
    x = 111,263.94/230.06
  6. Step 6: Final answer
    x = 483.62

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.