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Finding the Third Proportional to 151.14 and 327.90

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Solution

The third proportional to 151.14 and 327.90 is: 711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.14 : 327.90 = 327.90 : x
  2. Step 2: Convert to fraction form
    151.14/327.90 = 327.90/x
  3. Step 3: Cross multiply
    151.14x = 327.90 × 327.90
  4. Step 4: Simplify right side
    151.14x = 107,519.95
  5. Step 5: Solve for x
    x = 107,519.95/151.14
  6. Step 6: Final answer
    x = 711.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.