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Finding the Third Proportional to 227,977 and 342,086

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Solution

The third proportional to 227,977 and 342,086 is: 513,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,977 : 342,086 = 342,086 : x
  2. Step 2: Convert to fraction form
    227,977/342,086 = 342,086/x
  3. Step 3: Cross multiply
    227,977x = 342,086 × 342,086
  4. Step 4: Simplify right side
    227,977x = 117,022,831,396
  5. Step 5: Solve for x
    x = 117,022,831,396/227,977
  6. Step 6: Final answer
    x = 513,309.81

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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.