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Finding the Third Proportional to 266.26 and 563.84

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Solution

The third proportional to 266.26 and 563.84 is: 1,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.26 : 563.84 = 563.84 : x
  2. Step 2: Convert to fraction form
    266.26/563.84 = 563.84/x
  3. Step 3: Cross multiply
    266.26x = 563.84 × 563.84
  4. Step 4: Simplify right side
    266.26x = 317,910.96
  5. Step 5: Solve for x
    x = 317,910.96/266.26
  6. Step 6: Final answer
    x = 1,194.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.