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Finding the Third Proportional to 225.28 and 298.69

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Solution

The third proportional to 225.28 and 298.69 is: 396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.28 : 298.69 = 298.69 : x
  2. Step 2: Convert to fraction form
    225.28/298.69 = 298.69/x
  3. Step 3: Cross multiply
    225.28x = 298.69 × 298.69
  4. Step 4: Simplify right side
    225.28x = 89,214.22
  5. Step 5: Solve for x
    x = 89,214.22/225.28
  6. Step 6: Final answer
    x = 396.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.