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Finding the Third Proportional to 231.19 and 406.27

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Solution

The third proportional to 231.19 and 406.27 is: 713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.19 : 406.27 = 406.27 : x
  2. Step 2: Convert to fraction form
    231.19/406.27 = 406.27/x
  3. Step 3: Cross multiply
    231.19x = 406.27 × 406.27
  4. Step 4: Simplify right side
    231.19x = 165,051.76
  5. Step 5: Solve for x
    x = 165,051.76/231.19
  6. Step 6: Final answer
    x = 713.93

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.