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Finding the Third Proportional to 150.19 and 327.69

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Solution

The third proportional to 150.19 and 327.69 is: 714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 327.69 = 327.69 : x
  2. Step 2: Convert to fraction form
    150.19/327.69 = 327.69/x
  3. Step 3: Cross multiply
    150.19x = 327.69 × 327.69
  4. Step 4: Simplify right side
    150.19x = 107,381.66
  5. Step 5: Solve for x
    x = 107,381.66/150.19
  6. Step 6: Final answer
    x = 714.98

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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.