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Finding the Third Proportional to 227,449.13 and 336,738.38

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Solution

The third proportional to 227,449.13 and 336,738.38 is: 498,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,449.13 : 336,738.38 = 336,738.38 : x
  2. Step 2: Convert to fraction form
    227,449.13/336,738.38 = 336,738.38/x
  3. Step 3: Cross multiply
    227,449.13x = 336,738.38 × 336,738.38
  4. Step 4: Simplify right side
    227,449.13x = 113,392,733,197.64
  5. Step 5: Solve for x
    x = 113,392,733,197.64/227,449.13
  6. Step 6: Final answer
    x = 498,541.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.