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Finding the Third Proportional to 227,175.75 and 330,185.25

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Solution

The third proportional to 227,175.75 and 330,185.25 is: 479,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,175.75 : 330,185.25 = 330,185.25 : x
  2. Step 2: Convert to fraction form
    227,175.75/330,185.25 = 330,185.25/x
  3. Step 3: Cross multiply
    227,175.75x = 330,185.25 × 330,185.25
  4. Step 4: Simplify right side
    227,175.75x = 109,022,299,317.56
  5. Step 5: Solve for x
    x = 109,022,299,317.56/227,175.75
  6. Step 6: Final answer
    x = 479,902.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.