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Finding the Third Proportional to 207.66 and 452.02

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Solution

The third proportional to 207.66 and 452.02 is: 983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 452.02 = 452.02 : x
  2. Step 2: Convert to fraction form
    207.66/452.02 = 452.02/x
  3. Step 3: Cross multiply
    207.66x = 452.02 × 452.02
  4. Step 4: Simplify right side
    207.66x = 204,318.13
  5. Step 5: Solve for x
    x = 204,318.13/207.66
  6. Step 6: Final answer
    x = 983.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.