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Finding the Third Proportional to 205.94 and 288.94

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Solution

The third proportional to 205.94 and 288.94 is: 405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 288.94 = 288.94 : x
  2. Step 2: Convert to fraction form
    205.94/288.94 = 288.94/x
  3. Step 3: Cross multiply
    205.94x = 288.94 × 288.94
  4. Step 4: Simplify right side
    205.94x = 83,484.88
  5. Step 5: Solve for x
    x = 83,484.88/205.94
  6. Step 6: Final answer
    x = 405.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.