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Finding the Third Proportional to 151.56 and 327.24

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Solution

The third proportional to 151.56 and 327.24 is: 706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.56 : 327.24 = 327.24 : x
  2. Step 2: Convert to fraction form
    151.56/327.24 = 327.24/x
  3. Step 3: Cross multiply
    151.56x = 327.24 × 327.24
  4. Step 4: Simplify right side
    151.56x = 107,088.09
  5. Step 5: Solve for x
    x = 107,088.09/151.56
  6. Step 6: Final answer
    x = 706.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.