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Finding the Third Proportional to 98.44 and 143.97

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Solution

The third proportional to 98.44 and 143.97 is: 210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.44 : 143.97 = 143.97 : x
  2. Step 2: Convert to fraction form
    98.44/143.97 = 143.97/x
  3. Step 3: Cross multiply
    98.44x = 143.97 × 143.97
  4. Step 4: Simplify right side
    98.44x = 20,727.00
  5. Step 5: Solve for x
    x = 20,727.00/98.44
  6. Step 6: Final answer
    x = 210.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.