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Finding the Third Proportional to 114.19 and 241.59

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Solution

The third proportional to 114.19 and 241.59 is: 511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.19 : 241.59 = 241.59 : x
  2. Step 2: Convert to fraction form
    114.19/241.59 = 241.59/x
  3. Step 3: Cross multiply
    114.19x = 241.59 × 241.59
  4. Step 4: Simplify right side
    114.19x = 58,367.54
  5. Step 5: Solve for x
    x = 58,367.54/114.19
  6. Step 6: Final answer
    x = 511.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.