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Finding the Third Proportional to 205.88 and 420.94

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Solution

The third proportional to 205.88 and 420.94 is: 860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 420.94 = 420.94 : x
  2. Step 2: Convert to fraction form
    205.88/420.94 = 420.94/x
  3. Step 3: Cross multiply
    205.88x = 420.94 × 420.94
  4. Step 4: Simplify right side
    205.88x = 177,188.38
  5. Step 5: Solve for x
    x = 177,188.38/205.88
  6. Step 6: Final answer
    x = 860.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.