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Finding the Third Proportional to 142.94 and 226.22

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Solution

The third proportional to 142.94 and 226.22 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.94 : 226.22 = 226.22 : x
  2. Step 2: Convert to fraction form
    142.94/226.22 = 226.22/x
  3. Step 3: Cross multiply
    142.94x = 226.22 × 226.22
  4. Step 4: Simplify right side
    142.94x = 51,174.92
  5. Step 5: Solve for x
    x = 51,174.92/142.94
  6. Step 6: Final answer
    x = 358.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.