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Finding the Third Proportional to 231.47 and 369.94

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Solution

The third proportional to 231.47 and 369.94 is: 591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.47 : 369.94 = 369.94 : x
  2. Step 2: Convert to fraction form
    231.47/369.94 = 369.94/x
  3. Step 3: Cross multiply
    231.47x = 369.94 × 369.94
  4. Step 4: Simplify right side
    231.47x = 136,853.75
  5. Step 5: Solve for x
    x = 136,853.75/231.47
  6. Step 6: Final answer
    x = 591.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.