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Finding the Third Proportional to 104.49 and 227.89

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Solution

The third proportional to 104.49 and 227.89 is: 497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.49 : 227.89 = 227.89 : x
  2. Step 2: Convert to fraction form
    104.49/227.89 = 227.89/x
  3. Step 3: Cross multiply
    104.49x = 227.89 × 227.89
  4. Step 4: Simplify right side
    104.49x = 51,934.58
  5. Step 5: Solve for x
    x = 51,934.58/104.49
  6. Step 6: Final answer
    x = 497.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.