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Finding the Third Proportional to 106.45 and 227.34

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Solution

The third proportional to 106.45 and 227.34 is: 485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.45 : 227.34 = 227.34 : x
  2. Step 2: Convert to fraction form
    106.45/227.34 = 227.34/x
  3. Step 3: Cross multiply
    106.45x = 227.34 × 227.34
  4. Step 4: Simplify right side
    106.45x = 51,685.18
  5. Step 5: Solve for x
    x = 51,685.18/106.45
  6. Step 6: Final answer
    x = 485.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.