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Finding the Third Proportional to 98.25 and 158

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Solution

The third proportional to 98.25 and 158 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.25 : 158 = 158 : x
  2. Step 2: Convert to fraction form
    98.25/158 = 158/x
  3. Step 3: Cross multiply
    98.25x = 158 × 158
  4. Step 4: Simplify right side
    98.25x = 24,964
  5. Step 5: Solve for x
    x = 24,964/98.25
  6. Step 6: Final answer
    x = 254.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.