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Finding the Third Proportional to 204.66 and 447.84

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Solution

The third proportional to 204.66 and 447.84 is: 980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.66 : 447.84 = 447.84 : x
  2. Step 2: Convert to fraction form
    204.66/447.84 = 447.84/x
  3. Step 3: Cross multiply
    204.66x = 447.84 × 447.84
  4. Step 4: Simplify right side
    204.66x = 200,564.02
  5. Step 5: Solve for x
    x = 200,564.02/204.66
  6. Step 6: Final answer
    x = 980.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.