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Finding the Third Proportional to 260.67 and 566.72

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Solution

The third proportional to 260.67 and 566.72 is: 1,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.67 : 566.72 = 566.72 : x
  2. Step 2: Convert to fraction form
    260.67/566.72 = 566.72/x
  3. Step 3: Cross multiply
    260.67x = 566.72 × 566.72
  4. Step 4: Simplify right side
    260.67x = 321,170.14
  5. Step 5: Solve for x
    x = 321,170.14/260.67
  6. Step 6: Final answer
    x = 1,232.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.