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Finding the Third Proportional to 250.13 and 324.94

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Solution

The third proportional to 250.13 and 324.94 is: 422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.13 : 324.94 = 324.94 : x
  2. Step 2: Convert to fraction form
    250.13/324.94 = 324.94/x
  3. Step 3: Cross multiply
    250.13x = 324.94 × 324.94
  4. Step 4: Simplify right side
    250.13x = 105,584.38
  5. Step 5: Solve for x
    x = 105,584.38/250.13
  6. Step 6: Final answer
    x = 422.13

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.