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Finding the Third Proportional to 231,722 and 340,064

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Solution

The third proportional to 231,722 and 340,064 is: 499,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,722 : 340,064 = 340,064 : x
  2. Step 2: Convert to fraction form
    231,722/340,064 = 340,064/x
  3. Step 3: Cross multiply
    231,722x = 340,064 × 340,064
  4. Step 4: Simplify right side
    231,722x = 115,643,524,096
  5. Step 5: Solve for x
    x = 115,643,524,096/231,722
  6. Step 6: Final answer
    x = 499,061.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.