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Finding the Third Proportional to 148.15 and 224.26

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Solution

The third proportional to 148.15 and 224.26 is: 339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.15 : 224.26 = 224.26 : x
  2. Step 2: Convert to fraction form
    148.15/224.26 = 224.26/x
  3. Step 3: Cross multiply
    148.15x = 224.26 × 224.26
  4. Step 4: Simplify right side
    148.15x = 50,293.32
  5. Step 5: Solve for x
    x = 50,293.32/148.15
  6. Step 6: Final answer
    x = 339.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.