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Finding the Third Proportional to 207.97 and 310.69

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Solution

The third proportional to 207.97 and 310.69 is: 464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.97 : 310.69 = 310.69 : x
  2. Step 2: Convert to fraction form
    207.97/310.69 = 310.69/x
  3. Step 3: Cross multiply
    207.97x = 310.69 × 310.69
  4. Step 4: Simplify right side
    207.97x = 96,526.72
  5. Step 5: Solve for x
    x = 96,526.72/207.97
  6. Step 6: Final answer
    x = 464.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.