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Finding the Third Proportional to 229.31 and 474.75

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Solution

The third proportional to 229.31 and 474.75 is: 982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.31 : 474.75 = 474.75 : x
  2. Step 2: Convert to fraction form
    229.31/474.75 = 474.75/x
  3. Step 3: Cross multiply
    229.31x = 474.75 × 474.75
  4. Step 4: Simplify right side
    229.31x = 225,387.56
  5. Step 5: Solve for x
    x = 225,387.56/229.31
  6. Step 6: Final answer
    x = 982.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.