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Finding the Third Proportional to 231.61 and 346.36

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Solution

The third proportional to 231.61 and 346.36 is: 517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.61 : 346.36 = 346.36 : x
  2. Step 2: Convert to fraction form
    231.61/346.36 = 346.36/x
  3. Step 3: Cross multiply
    231.61x = 346.36 × 346.36
  4. Step 4: Simplify right side
    231.61x = 119,964.82
  5. Step 5: Solve for x
    x = 119,964.82/231.61
  6. Step 6: Final answer
    x = 517.96

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