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Finding the Third Proportional to 204.40 and 244.90

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Solution

The third proportional to 204.40 and 244.90 is: 293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 244.90 = 244.90 : x
  2. Step 2: Convert to fraction form
    204.40/244.90 = 244.90/x
  3. Step 3: Cross multiply
    204.40x = 244.90 × 244.90
  4. Step 4: Simplify right side
    204.40x = 59,975.24
  5. Step 5: Solve for x
    x = 59,975.24/204.40
  6. Step 6: Final answer
    x = 293.42

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.