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Finding the Third Proportional to 266.06 and 398.53

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Solution

The third proportional to 266.06 and 398.53 is: 596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 398.53 = 398.53 : x
  2. Step 2: Convert to fraction form
    266.06/398.53 = 398.53/x
  3. Step 3: Cross multiply
    266.06x = 398.53 × 398.53
  4. Step 4: Simplify right side
    266.06x = 158,827.16
  5. Step 5: Solve for x
    x = 158,827.16/266.06
  6. Step 6: Final answer
    x = 596.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.