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Finding the Third Proportional to 150.21 and 227.10

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Solution

The third proportional to 150.21 and 227.10 is: 343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.21 : 227.10 = 227.10 : x
  2. Step 2: Convert to fraction form
    150.21/227.10 = 227.10/x
  3. Step 3: Cross multiply
    150.21x = 227.10 × 227.10
  4. Step 4: Simplify right side
    150.21x = 51,574.68
  5. Step 5: Solve for x
    x = 51,574.68/150.21
  6. Step 6: Final answer
    x = 343.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.