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Finding the Third Proportional to 243.42 and 280.55

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Solution

The third proportional to 243.42 and 280.55 is: 323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.42 : 280.55 = 280.55 : x
  2. Step 2: Convert to fraction form
    243.42/280.55 = 280.55/x
  3. Step 3: Cross multiply
    243.42x = 280.55 × 280.55
  4. Step 4: Simplify right side
    243.42x = 78,706.55
  5. Step 5: Solve for x
    x = 78,706.55/243.42
  6. Step 6: Final answer
    x = 323.33

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.