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Finding the Third Proportional to 101.91 and 276.14

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Solution

The third proportional to 101.91 and 276.14 is: 748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.91 : 276.14 = 276.14 : x
  2. Step 2: Convert to fraction form
    101.91/276.14 = 276.14/x
  3. Step 3: Cross multiply
    101.91x = 276.14 × 276.14
  4. Step 4: Simplify right side
    101.91x = 76,253.64
  5. Step 5: Solve for x
    x = 76,253.64/101.91
  6. Step 6: Final answer
    x = 748.27

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.