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Finding the Third Proportional to 146.06 and 225.56

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Solution

The third proportional to 146.06 and 225.56 is: 348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.06 : 225.56 = 225.56 : x
  2. Step 2: Convert to fraction form
    146.06/225.56 = 225.56/x
  3. Step 3: Cross multiply
    146.06x = 225.56 × 225.56
  4. Step 4: Simplify right side
    146.06x = 50,878.44
  5. Step 5: Solve for x
    x = 50,878.44/146.06
  6. Step 6: Final answer
    x = 348.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.