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Finding the Third Proportional to 227,997 and 340,719

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Solution

The third proportional to 227,997 and 340,719 is: 509,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,997 : 340,719 = 340,719 : x
  2. Step 2: Convert to fraction form
    227,997/340,719 = 340,719/x
  3. Step 3: Cross multiply
    227,997x = 340,719 × 340,719
  4. Step 4: Simplify right side
    227,997x = 116,089,436,961
  5. Step 5: Solve for x
    x = 116,089,436,961/227,997
  6. Step 6: Final answer
    x = 509,170.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.