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Finding the Third Proportional to 146.44 and 300.19

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Solution

The third proportional to 146.44 and 300.19 is: 615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.44 : 300.19 = 300.19 : x
  2. Step 2: Convert to fraction form
    146.44/300.19 = 300.19/x
  3. Step 3: Cross multiply
    146.44x = 300.19 × 300.19
  4. Step 4: Simplify right side
    146.44x = 90,112.54
  5. Step 5: Solve for x
    x = 90,112.54/146.44
  6. Step 6: Final answer
    x = 615.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.