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Finding the Third Proportional to 114.26 and 247.75

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Solution

The third proportional to 114.26 and 247.75 is: 537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.26 : 247.75 = 247.75 : x
  2. Step 2: Convert to fraction form
    114.26/247.75 = 247.75/x
  3. Step 3: Cross multiply
    114.26x = 247.75 × 247.75
  4. Step 4: Simplify right side
    114.26x = 61,378.13
  5. Step 5: Solve for x
    x = 61,378.13/114.26
  6. Step 6: Final answer
    x = 537.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.