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Finding the Third Proportional to 234.93 and 369.48

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Solution

The third proportional to 234.93 and 369.48 is: 581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.93 : 369.48 = 369.48 : x
  2. Step 2: Convert to fraction form
    234.93/369.48 = 369.48/x
  3. Step 3: Cross multiply
    234.93x = 369.48 × 369.48
  4. Step 4: Simplify right side
    234.93x = 136,517.98
  5. Step 5: Solve for x
    x = 136,517.98/234.93
  6. Step 6: Final answer
    x = 581.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.