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Finding the Third Proportional to 151.94 and 323.75

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Solution

The third proportional to 151.94 and 323.75 is: 689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.94 : 323.75 = 323.75 : x
  2. Step 2: Convert to fraction form
    151.94/323.75 = 323.75/x
  3. Step 3: Cross multiply
    151.94x = 323.75 × 323.75
  4. Step 4: Simplify right side
    151.94x = 104,814.06
  5. Step 5: Solve for x
    x = 104,814.06/151.94
  6. Step 6: Final answer
    x = 689.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.