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Finding the Third Proportional to 100.14 and 231.73

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Solution

The third proportional to 100.14 and 231.73 is: 536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 231.73 = 231.73 : x
  2. Step 2: Convert to fraction form
    100.14/231.73 = 231.73/x
  3. Step 3: Cross multiply
    100.14x = 231.73 × 231.73
  4. Step 4: Simplify right side
    100.14x = 53,700.82
  5. Step 5: Solve for x
    x = 53,700.82/100.14
  6. Step 6: Final answer
    x = 536.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.