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Finding the Third Proportional to 230.81 and 306.56

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Solution

The third proportional to 230.81 and 306.56 is: 407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 306.56 = 306.56 : x
  2. Step 2: Convert to fraction form
    230.81/306.56 = 306.56/x
  3. Step 3: Cross multiply
    230.81x = 306.56 × 306.56
  4. Step 4: Simplify right side
    230.81x = 93,980.57
  5. Step 5: Solve for x
    x = 93,980.57/230.81
  6. Step 6: Final answer
    x = 407.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.