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Finding the Third Proportional to 114.88 and 182.19

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Solution

The third proportional to 114.88 and 182.19 is: 288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.88 : 182.19 = 182.19 : x
  2. Step 2: Convert to fraction form
    114.88/182.19 = 182.19/x
  3. Step 3: Cross multiply
    114.88x = 182.19 × 182.19
  4. Step 4: Simplify right side
    114.88x = 33,192.29
  5. Step 5: Solve for x
    x = 33,192.29/114.88
  6. Step 6: Final answer
    x = 288.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.