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Finding the Third Proportional to 281.50 and 589.25

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Solution

The third proportional to 281.50 and 589.25 is: 1,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.50 : 589.25 = 589.25 : x
  2. Step 2: Convert to fraction form
    281.50/589.25 = 589.25/x
  3. Step 3: Cross multiply
    281.50x = 589.25 × 589.25
  4. Step 4: Simplify right side
    281.50x = 347,215.56
  5. Step 5: Solve for x
    x = 347,215.56/281.50
  6. Step 6: Final answer
    x = 1,233.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.