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Finding the Third Proportional to 204.08 and 440.60

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Solution

The third proportional to 204.08 and 440.60 is: 951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.08 : 440.60 = 440.60 : x
  2. Step 2: Convert to fraction form
    204.08/440.60 = 440.60/x
  3. Step 3: Cross multiply
    204.08x = 440.60 × 440.60
  4. Step 4: Simplify right side
    204.08x = 194,125.66
  5. Step 5: Solve for x
    x = 194,125.66/204.08
  6. Step 6: Final answer
    x = 951.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.