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Finding the Third Proportional to 226,978.31 and 342,168.75

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Solution

The third proportional to 226,978.31 and 342,168.75 is: 515,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,978.31 : 342,168.75 = 342,168.75 : x
  2. Step 2: Convert to fraction form
    226,978.31/342,168.75 = 342,168.75/x
  3. Step 3: Cross multiply
    226,978.31x = 342,168.75 × 342,168.75
  4. Step 4: Simplify right side
    226,978.31x = 117,079,453,476.56
  5. Step 5: Solve for x
    x = 117,079,453,476.56/226,978.31
  6. Step 6: Final answer
    x = 515,817.80

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Why These Related Problems?

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