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Finding the Third Proportional to 158.44 and 232.19

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Solution

The third proportional to 158.44 and 232.19 is: 340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.44 : 232.19 = 232.19 : x
  2. Step 2: Convert to fraction form
    158.44/232.19 = 232.19/x
  3. Step 3: Cross multiply
    158.44x = 232.19 × 232.19
  4. Step 4: Simplify right side
    158.44x = 53,911.04
  5. Step 5: Solve for x
    x = 53,911.04/158.44
  6. Step 6: Final answer
    x = 340.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.