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Finding the Third Proportional to 114.12 and 275.48

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Solution

The third proportional to 114.12 and 275.48 is: 665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.12 : 275.48 = 275.48 : x
  2. Step 2: Convert to fraction form
    114.12/275.48 = 275.48/x
  3. Step 3: Cross multiply
    114.12x = 275.48 × 275.48
  4. Step 4: Simplify right side
    114.12x = 75,891.64
  5. Step 5: Solve for x
    x = 75,891.64/114.12
  6. Step 6: Final answer
    x = 665.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.