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Finding the Third Proportional to 206.16 and 452.81

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Solution

The third proportional to 206.16 and 452.81 is: 994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 452.81 = 452.81 : x
  2. Step 2: Convert to fraction form
    206.16/452.81 = 452.81/x
  3. Step 3: Cross multiply
    206.16x = 452.81 × 452.81
  4. Step 4: Simplify right side
    206.16x = 205,039.16
  5. Step 5: Solve for x
    x = 205,039.16/206.16
  6. Step 6: Final answer
    x = 994.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.