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Finding the Third Proportional to 148.90 and 224.46

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Solution

The third proportional to 148.90 and 224.46 is: 338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.90 : 224.46 = 224.46 : x
  2. Step 2: Convert to fraction form
    148.90/224.46 = 224.46/x
  3. Step 3: Cross multiply
    148.90x = 224.46 × 224.46
  4. Step 4: Simplify right side
    148.90x = 50,380.08
  5. Step 5: Solve for x
    x = 50,380.08/148.90
  6. Step 6: Final answer
    x = 338.34

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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.