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Finding the Third Proportional to 281.53 and 606.52

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Solution

The third proportional to 281.53 and 606.52 is: 1,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 606.52 = 606.52 : x
  2. Step 2: Convert to fraction form
    281.53/606.52 = 606.52/x
  3. Step 3: Cross multiply
    281.53x = 606.52 × 606.52
  4. Step 4: Simplify right side
    281.53x = 367,861.20
  5. Step 5: Solve for x
    x = 367,861.20/281.53
  6. Step 6: Final answer
    x = 1,306.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.