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Finding the Third Proportional to 147.45 and 220.54

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Solution

The third proportional to 147.45 and 220.54 is: 329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.45 : 220.54 = 220.54 : x
  2. Step 2: Convert to fraction form
    147.45/220.54 = 220.54/x
  3. Step 3: Cross multiply
    147.45x = 220.54 × 220.54
  4. Step 4: Simplify right side
    147.45x = 48,635.76
  5. Step 5: Solve for x
    x = 48,635.76/147.45
  6. Step 6: Final answer
    x = 329.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.