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Finding the Third Proportional to 188.44 and 223.03

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Solution

The third proportional to 188.44 and 223.03 is: 263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.44 : 223.03 = 223.03 : x
  2. Step 2: Convert to fraction form
    188.44/223.03 = 223.03/x
  3. Step 3: Cross multiply
    188.44x = 223.03 × 223.03
  4. Step 4: Simplify right side
    188.44x = 49,742.94
  5. Step 5: Solve for x
    x = 49,742.94/188.44
  6. Step 6: Final answer
    x = 263.98

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.