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Finding the Third Proportional to 204.19 and 478.69

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Solution

The third proportional to 204.19 and 478.69 is: 1,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 478.69 = 478.69 : x
  2. Step 2: Convert to fraction form
    204.19/478.69 = 478.69/x
  3. Step 3: Cross multiply
    204.19x = 478.69 × 478.69
  4. Step 4: Simplify right side
    204.19x = 229,141.72
  5. Step 5: Solve for x
    x = 229,141.72/204.19
  6. Step 6: Final answer
    x = 1,122.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.