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Finding the Third Proportional to 150.63 and 227.56

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Solution

The third proportional to 150.63 and 227.56 is: 343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.63 : 227.56 = 227.56 : x
  2. Step 2: Convert to fraction form
    150.63/227.56 = 227.56/x
  3. Step 3: Cross multiply
    150.63x = 227.56 × 227.56
  4. Step 4: Simplify right side
    150.63x = 51,784.69
  5. Step 5: Solve for x
    x = 51,784.69/150.63
  6. Step 6: Final answer
    x = 343.80

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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.