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Finding the Third Proportional to 150.50 and 327.63

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Solution

The third proportional to 150.50 and 327.63 is: 713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.50 : 327.63 = 327.63 : x
  2. Step 2: Convert to fraction form
    150.50/327.63 = 327.63/x
  3. Step 3: Cross multiply
    150.50x = 327.63 × 327.63
  4. Step 4: Simplify right side
    150.50x = 107,338.14
  5. Step 5: Solve for x
    x = 107,338.14/150.50
  6. Step 6: Final answer
    x = 713.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.