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Finding the Third Proportional to 239.50 and 374.13

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Solution

The third proportional to 239.50 and 374.13 is: 584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.50 : 374.13 = 374.13 : x
  2. Step 2: Convert to fraction form
    239.50/374.13 = 374.13/x
  3. Step 3: Cross multiply
    239.50x = 374.13 × 374.13
  4. Step 4: Simplify right side
    239.50x = 139,969.52
  5. Step 5: Solve for x
    x = 139,969.52/239.50
  6. Step 6: Final answer
    x = 584.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.