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Finding the Third Proportional to 226.97 and 501.75

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Solution

The third proportional to 226.97 and 501.75 is: 1,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.97 : 501.75 = 501.75 : x
  2. Step 2: Convert to fraction form
    226.97/501.75 = 501.75/x
  3. Step 3: Cross multiply
    226.97x = 501.75 × 501.75
  4. Step 4: Simplify right side
    226.97x = 251,753.06
  5. Step 5: Solve for x
    x = 251,753.06/226.97
  6. Step 6: Final answer
    x = 1,109.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.