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Finding the Third Proportional to 150.89 and 330.61

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Solution

The third proportional to 150.89 and 330.61 is: 724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.89 : 330.61 = 330.61 : x
  2. Step 2: Convert to fraction form
    150.89/330.61 = 330.61/x
  3. Step 3: Cross multiply
    150.89x = 330.61 × 330.61
  4. Step 4: Simplify right side
    150.89x = 109,302.56
  5. Step 5: Solve for x
    x = 109,302.56/150.89
  6. Step 6: Final answer
    x = 724.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.