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Finding the Third Proportional to 225.38 and 338.13

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Solution

The third proportional to 225.38 and 338.13 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.38 : 338.13 = 338.13 : x
  2. Step 2: Convert to fraction form
    225.38/338.13 = 338.13/x
  3. Step 3: Cross multiply
    225.38x = 338.13 × 338.13
  4. Step 4: Simplify right side
    225.38x = 114,328.52
  5. Step 5: Solve for x
    x = 114,328.52/225.38
  6. Step 6: Final answer
    x = 507.28

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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.