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Finding the Third Proportional to 114.09 and 249.14

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Solution

The third proportional to 114.09 and 249.14 is: 544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 249.14 = 249.14 : x
  2. Step 2: Convert to fraction form
    114.09/249.14 = 249.14/x
  3. Step 3: Cross multiply
    114.09x = 249.14 × 249.14
  4. Step 4: Simplify right side
    114.09x = 62,072.51
  5. Step 5: Solve for x
    x = 62,072.51/114.09
  6. Step 6: Final answer
    x = 544.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.