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Finding the Third Proportional to 230.49 and 260.41

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Solution

The third proportional to 230.49 and 260.41 is: 294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.49 : 260.41 = 260.41 : x
  2. Step 2: Convert to fraction form
    230.49/260.41 = 260.41/x
  3. Step 3: Cross multiply
    230.49x = 260.41 × 260.41
  4. Step 4: Simplify right side
    230.49x = 67,811.30
  5. Step 5: Solve for x
    x = 67,811.30/230.49
  6. Step 6: Final answer
    x = 294.20

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.