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Finding the Third Proportional to 277.66 and 394.66

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Solution

The third proportional to 277.66 and 394.66 is: 560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.66 : 394.66 = 394.66 : x
  2. Step 2: Convert to fraction form
    277.66/394.66 = 394.66/x
  3. Step 3: Cross multiply
    277.66x = 394.66 × 394.66
  4. Step 4: Simplify right side
    277.66x = 155,759.72
  5. Step 5: Solve for x
    x = 155,759.72/277.66
  6. Step 6: Final answer
    x = 560.96

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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.