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Finding the Third Proportional to 114.89 and 243.91

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Solution

The third proportional to 114.89 and 243.91 is: 517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.89 : 243.91 = 243.91 : x
  2. Step 2: Convert to fraction form
    114.89/243.91 = 243.91/x
  3. Step 3: Cross multiply
    114.89x = 243.91 × 243.91
  4. Step 4: Simplify right side
    114.89x = 59,494.07
  5. Step 5: Solve for x
    x = 59,494.07/114.89
  6. Step 6: Final answer
    x = 517.83

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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.