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Finding the Third Proportional to 227,168 and 343,936

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Solution

The third proportional to 227,168 and 343,936 is: 520,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,168 : 343,936 = 343,936 : x
  2. Step 2: Convert to fraction form
    227,168/343,936 = 343,936/x
  3. Step 3: Cross multiply
    227,168x = 343,936 × 343,936
  4. Step 4: Simplify right side
    227,168x = 118,291,972,096
  5. Step 5: Solve for x
    x = 118,291,972,096/227,168
  6. Step 6: Final answer
    x = 520,724.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.