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Finding the Third Proportional to 150.57 and 223.24

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Solution

The third proportional to 150.57 and 223.24 is: 331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.57 : 223.24 = 223.24 : x
  2. Step 2: Convert to fraction form
    150.57/223.24 = 223.24/x
  3. Step 3: Cross multiply
    150.57x = 223.24 × 223.24
  4. Step 4: Simplify right side
    150.57x = 49,838.06
  5. Step 5: Solve for x
    x = 49,838.06/150.57
  6. Step 6: Final answer
    x = 331.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.