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Finding the Third Proportional to 98.38 and 184.38

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Solution

The third proportional to 98.38 and 184.38 is: 345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.38 : 184.38 = 184.38 : x
  2. Step 2: Convert to fraction form
    98.38/184.38 = 184.38/x
  3. Step 3: Cross multiply
    98.38x = 184.38 × 184.38
  4. Step 4: Simplify right side
    98.38x = 33,994.14
  5. Step 5: Solve for x
    x = 33,994.14/98.38
  6. Step 6: Final answer
    x = 345.56

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.