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Finding the Third Proportional to 229.75 and 481.94

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Solution

The third proportional to 229.75 and 481.94 is: 1,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.75 : 481.94 = 481.94 : x
  2. Step 2: Convert to fraction form
    229.75/481.94 = 481.94/x
  3. Step 3: Cross multiply
    229.75x = 481.94 × 481.94
  4. Step 4: Simplify right side
    229.75x = 232,263.75
  5. Step 5: Solve for x
    x = 232,263.75/229.75
  6. Step 6: Final answer
    x = 1,010.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.