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Finding the Third Proportional to 227.71 and 488.58

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Solution

The third proportional to 227.71 and 488.58 is: 1,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.71 : 488.58 = 488.58 : x
  2. Step 2: Convert to fraction form
    227.71/488.58 = 488.58/x
  3. Step 3: Cross multiply
    227.71x = 488.58 × 488.58
  4. Step 4: Simplify right side
    227.71x = 238,714.31
  5. Step 5: Solve for x
    x = 238,714.31/227.71
  6. Step 6: Final answer
    x = 1,048.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.