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Finding the Third Proportional to 281.53 and 618.89

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Solution

The third proportional to 281.53 and 618.89 is: 1,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 618.89 = 618.89 : x
  2. Step 2: Convert to fraction form
    281.53/618.89 = 618.89/x
  3. Step 3: Cross multiply
    281.53x = 618.89 × 618.89
  4. Step 4: Simplify right side
    281.53x = 383,025.61
  5. Step 5: Solve for x
    x = 383,025.61/281.53
  6. Step 6: Final answer
    x = 1,360.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.