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Finding the Third Proportional to 336.23 and 405.84

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Solution

The third proportional to 336.23 and 405.84 is: 489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.23 : 405.84 = 405.84 : x
  2. Step 2: Convert to fraction form
    336.23/405.84 = 405.84/x
  3. Step 3: Cross multiply
    336.23x = 405.84 × 405.84
  4. Step 4: Simplify right side
    336.23x = 164,709.15
  5. Step 5: Solve for x
    x = 164,709.15/336.23
  6. Step 6: Final answer
    x = 489.86

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.