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Finding the Third Proportional to 227,843 and 366,064

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Solution

The third proportional to 227,843 and 366,064 is: 588,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,843 : 366,064 = 366,064 : x
  2. Step 2: Convert to fraction form
    227,843/366,064 = 366,064/x
  3. Step 3: Cross multiply
    227,843x = 366,064 × 366,064
  4. Step 4: Simplify right side
    227,843x = 134,002,852,096
  5. Step 5: Solve for x
    x = 134,002,852,096/227,843
  6. Step 6: Final answer
    x = 588,136.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.