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Finding the Third Proportional to 150.57 and 232.26

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Solution

The third proportional to 150.57 and 232.26 is: 358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.57 : 232.26 = 232.26 : x
  2. Step 2: Convert to fraction form
    150.57/232.26 = 232.26/x
  3. Step 3: Cross multiply
    150.57x = 232.26 × 232.26
  4. Step 4: Simplify right side
    150.57x = 53,945.62
  5. Step 5: Solve for x
    x = 53,945.62/150.57
  6. Step 6: Final answer
    x = 358.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.