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Finding the Third Proportional to 73.41 and 158.20

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Solution

The third proportional to 73.41 and 158.20 is: 340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.41 : 158.20 = 158.20 : x
  2. Step 2: Convert to fraction form
    73.41/158.20 = 158.20/x
  3. Step 3: Cross multiply
    73.41x = 158.20 × 158.20
  4. Step 4: Simplify right side
    73.41x = 25,028.23
  5. Step 5: Solve for x
    x = 25,028.23/73.41
  6. Step 6: Final answer
    x = 340.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.