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Finding the Third Proportional to 207.67 and 451.93

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Solution

The third proportional to 207.67 and 451.93 is: 983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.67 : 451.93 = 451.93 : x
  2. Step 2: Convert to fraction form
    207.67/451.93 = 451.93/x
  3. Step 3: Cross multiply
    207.67x = 451.93 × 451.93
  4. Step 4: Simplify right side
    207.67x = 204,243.97
  5. Step 5: Solve for x
    x = 204,243.97/207.67
  6. Step 6: Final answer
    x = 983.51

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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.