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Finding the Third Proportional to 231.61 and 405.84

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Solution

The third proportional to 231.61 and 405.84 is: 711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.61 : 405.84 = 405.84 : x
  2. Step 2: Convert to fraction form
    231.61/405.84 = 405.84/x
  3. Step 3: Cross multiply
    231.61x = 405.84 × 405.84
  4. Step 4: Simplify right side
    231.61x = 164,709.15
  5. Step 5: Solve for x
    x = 164,709.15/231.61
  6. Step 6: Final answer
    x = 711.15

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.