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Finding the Third Proportional to 213.94 and 460.92

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Solution

The third proportional to 213.94 and 460.92 is: 993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 460.92 = 460.92 : x
  2. Step 2: Convert to fraction form
    213.94/460.92 = 460.92/x
  3. Step 3: Cross multiply
    213.94x = 460.92 × 460.92
  4. Step 4: Simplify right side
    213.94x = 212,448.97
  5. Step 5: Solve for x
    x = 212,448.97/213.94
  6. Step 6: Final answer
    x = 993.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.