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Finding the Third Proportional to 114.84 and 243.94

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Solution

The third proportional to 114.84 and 243.94 is: 518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.84 : 243.94 = 243.94 : x
  2. Step 2: Convert to fraction form
    114.84/243.94 = 243.94/x
  3. Step 3: Cross multiply
    114.84x = 243.94 × 243.94
  4. Step 4: Simplify right side
    114.84x = 59,505.50
  5. Step 5: Solve for x
    x = 59,505.50/114.84
  6. Step 6: Final answer
    x = 518.14

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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.