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Finding the Third Proportional to 281.06 and 434.44

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Solution

The third proportional to 281.06 and 434.44 is: 671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.06 : 434.44 = 434.44 : x
  2. Step 2: Convert to fraction form
    281.06/434.44 = 434.44/x
  3. Step 3: Cross multiply
    281.06x = 434.44 × 434.44
  4. Step 4: Simplify right side
    281.06x = 188,735.94
  5. Step 5: Solve for x
    x = 188,735.94/281.06
  6. Step 6: Final answer
    x = 671.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.