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Finding the Third Proportional to 205.25 and 478.94

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Solution

The third proportional to 205.25 and 478.94 is: 1,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.25 : 478.94 = 478.94 : x
  2. Step 2: Convert to fraction form
    205.25/478.94 = 478.94/x
  3. Step 3: Cross multiply
    205.25x = 478.94 × 478.94
  4. Step 4: Simplify right side
    205.25x = 229,381.13
  5. Step 5: Solve for x
    x = 229,381.13/205.25
  6. Step 6: Final answer
    x = 1,117.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.