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Finding the Third Proportional to 262.88 and 394.38

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Solution

The third proportional to 262.88 and 394.38 is: 591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.88 : 394.38 = 394.38 : x
  2. Step 2: Convert to fraction form
    262.88/394.38 = 394.38/x
  3. Step 3: Cross multiply
    262.88x = 394.38 × 394.38
  4. Step 4: Simplify right side
    262.88x = 155,531.64
  5. Step 5: Solve for x
    x = 155,531.64/262.88
  6. Step 6: Final answer
    x = 591.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.