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Finding the Third Proportional to 266 and 379.25

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Solution

The third proportional to 266 and 379.25 is: 540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266 : 379.25 = 379.25 : x
  2. Step 2: Convert to fraction form
    266/379.25 = 379.25/x
  3. Step 3: Cross multiply
    266x = 379.25 × 379.25
  4. Step 4: Simplify right side
    266x = 143,830.56
  5. Step 5: Solve for x
    x = 143,830.56/266
  6. Step 6: Final answer
    x = 540.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.