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Finding the Third Proportional to 266 and 374.25

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Solution

The third proportional to 266 and 374.25 is: 526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266 : 374.25 = 374.25 : x
  2. Step 2: Convert to fraction form
    266/374.25 = 374.25/x
  3. Step 3: Cross multiply
    266x = 374.25 × 374.25
  4. Step 4: Simplify right side
    266x = 140,063.06
  5. Step 5: Solve for x
    x = 140,063.06/266
  6. Step 6: Final answer
    x = 526.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.