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Finding the Third Proportional to 204.13 and 288.69

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Solution

The third proportional to 204.13 and 288.69 is: 408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.13 : 288.69 = 288.69 : x
  2. Step 2: Convert to fraction form
    204.13/288.69 = 288.69/x
  3. Step 3: Cross multiply
    204.13x = 288.69 × 288.69
  4. Step 4: Simplify right side
    204.13x = 83,340.47
  5. Step 5: Solve for x
    x = 83,340.47/204.13
  6. Step 6: Final answer
    x = 408.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.