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Finding the Third Proportional to 114.69 and 166.94

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Solution

The third proportional to 114.69 and 166.94 is: 242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.69 : 166.94 = 166.94 : x
  2. Step 2: Convert to fraction form
    114.69/166.94 = 166.94/x
  3. Step 3: Cross multiply
    114.69x = 166.94 × 166.94
  4. Step 4: Simplify right side
    114.69x = 27,868.13
  5. Step 5: Solve for x
    x = 27,868.13/114.69
  6. Step 6: Final answer
    x = 242.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.