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Finding the Third Proportional to 151.17 and 327.66

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Solution

The third proportional to 151.17 and 327.66 is: 710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.17 : 327.66 = 327.66 : x
  2. Step 2: Convert to fraction form
    151.17/327.66 = 327.66/x
  3. Step 3: Cross multiply
    151.17x = 327.66 × 327.66
  4. Step 4: Simplify right side
    151.17x = 107,358.62
  5. Step 5: Solve for x
    x = 107,358.62/151.17
  6. Step 6: Final answer
    x = 710.18

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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.