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Finding the Third Proportional to 226.55 and 575.86

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Solution

The third proportional to 226.55 and 575.86 is: 1,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.55 : 575.86 = 575.86 : x
  2. Step 2: Convert to fraction form
    226.55/575.86 = 575.86/x
  3. Step 3: Cross multiply
    226.55x = 575.86 × 575.86
  4. Step 4: Simplify right side
    226.55x = 331,614.02
  5. Step 5: Solve for x
    x = 331,614.02/226.55
  6. Step 6: Final answer
    x = 1,463.78

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Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.