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Finding the Third Proportional to 151.36 and 325.17

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Solution

The third proportional to 151.36 and 325.17 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.36 : 325.17 = 325.17 : x
  2. Step 2: Convert to fraction form
    151.36/325.17 = 325.17/x
  3. Step 3: Cross multiply
    151.36x = 325.17 × 325.17
  4. Step 4: Simplify right side
    151.36x = 105,736.75
  5. Step 5: Solve for x
    x = 105,736.75/151.36
  6. Step 6: Final answer
    x = 698.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.