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Finding the Third Proportional to 216.84 and 464.91

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Solution

The third proportional to 216.84 and 464.91 is: 996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 464.91 = 464.91 : x
  2. Step 2: Convert to fraction form
    216.84/464.91 = 464.91/x
  3. Step 3: Cross multiply
    216.84x = 464.91 × 464.91
  4. Step 4: Simplify right side
    216.84x = 216,137.82
  5. Step 5: Solve for x
    x = 216,137.82/216.84
  6. Step 6: Final answer
    x = 996.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.