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Finding the Third Proportional to 207.66 and 295.27

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Solution

The third proportional to 207.66 and 295.27 is: 419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 295.27 = 295.27 : x
  2. Step 2: Convert to fraction form
    207.66/295.27 = 295.27/x
  3. Step 3: Cross multiply
    207.66x = 295.27 × 295.27
  4. Step 4: Simplify right side
    207.66x = 87,181.79
  5. Step 5: Solve for x
    x = 87,181.79/207.66
  6. Step 6: Final answer
    x = 419.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.