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Finding the Third Proportional to 266.25 and 633

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Solution

The third proportional to 266.25 and 633 is: 1,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.25 : 633 = 633 : x
  2. Step 2: Convert to fraction form
    266.25/633 = 633/x
  3. Step 3: Cross multiply
    266.25x = 633 × 633
  4. Step 4: Simplify right side
    266.25x = 400,689
  5. Step 5: Solve for x
    x = 400,689/266.25
  6. Step 6: Final answer
    x = 1,504.94

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.