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Finding the Third Proportional to 266.25 and 548.25

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Solution

The third proportional to 266.25 and 548.25 is: 1,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.25 : 548.25 = 548.25 : x
  2. Step 2: Convert to fraction form
    266.25/548.25 = 548.25/x
  3. Step 3: Cross multiply
    266.25x = 548.25 × 548.25
  4. Step 4: Simplify right side
    266.25x = 300,578.06
  5. Step 5: Solve for x
    x = 300,578.06/266.25
  6. Step 6: Final answer
    x = 1,128.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.