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Finding the Third Proportional to 250.56 and 306.11

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Solution

The third proportional to 250.56 and 306.11 is: 373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.56 : 306.11 = 306.11 : x
  2. Step 2: Convert to fraction form
    250.56/306.11 = 306.11/x
  3. Step 3: Cross multiply
    250.56x = 306.11 × 306.11
  4. Step 4: Simplify right side
    250.56x = 93,700.56
  5. Step 5: Solve for x
    x = 93,700.56/250.56
  6. Step 6: Final answer
    x = 373.97

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.