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Finding the Third Proportional to 151.56 and 321.16

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Solution

The third proportional to 151.56 and 321.16 is: 680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.56 : 321.16 = 321.16 : x
  2. Step 2: Convert to fraction form
    151.56/321.16 = 321.16/x
  3. Step 3: Cross multiply
    151.56x = 321.16 × 321.16
  4. Step 4: Simplify right side
    151.56x = 103,141.34
  5. Step 5: Solve for x
    x = 103,141.34/151.56
  6. Step 6: Final answer
    x = 680.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.