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Finding the Third Proportional to 204.75 and 446.63

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Solution

The third proportional to 204.75 and 446.63 is: 974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 446.63 = 446.63 : x
  2. Step 2: Convert to fraction form
    204.75/446.63 = 446.63/x
  3. Step 3: Cross multiply
    204.75x = 446.63 × 446.63
  4. Step 4: Simplify right side
    204.75x = 199,473.89
  5. Step 5: Solve for x
    x = 199,473.89/204.75
  6. Step 6: Final answer
    x = 974.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.