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Finding the Third Proportional to 147.78 and 226.81

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Solution

The third proportional to 147.78 and 226.81 is: 348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 226.81 = 226.81 : x
  2. Step 2: Convert to fraction form
    147.78/226.81 = 226.81/x
  3. Step 3: Cross multiply
    147.78x = 226.81 × 226.81
  4. Step 4: Simplify right side
    147.78x = 51,443.91
  5. Step 5: Solve for x
    x = 51,443.91/147.78
  6. Step 6: Final answer
    x = 348.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.