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Finding the Third Proportional to 236.14 and 367.19

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Solution

The third proportional to 236.14 and 367.19 is: 570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.14 : 367.19 = 367.19 : x
  2. Step 2: Convert to fraction form
    236.14/367.19 = 367.19/x
  3. Step 3: Cross multiply
    236.14x = 367.19 × 367.19
  4. Step 4: Simplify right side
    236.14x = 134,828.09
  5. Step 5: Solve for x
    x = 134,828.09/236.14
  6. Step 6: Final answer
    x = 570.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.