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Finding the Third Proportional to 226.90 and 339.47

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Solution

The third proportional to 226.90 and 339.47 is: 507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.90 : 339.47 = 339.47 : x
  2. Step 2: Convert to fraction form
    226.90/339.47 = 339.47/x
  3. Step 3: Cross multiply
    226.90x = 339.47 × 339.47
  4. Step 4: Simplify right side
    226.90x = 115,239.03
  5. Step 5: Solve for x
    x = 115,239.03/226.90
  6. Step 6: Final answer
    x = 507.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.