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Finding the Third Proportional to 115,072.31 and 246,135.38

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Solution

The third proportional to 115,072.31 and 246,135.38 is: 526,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,072.31 : 246,135.38 = 246,135.38 : x
  2. Step 2: Convert to fraction form
    115,072.31/246,135.38 = 246,135.38/x
  3. Step 3: Cross multiply
    115,072.31x = 246,135.38 × 246,135.38
  4. Step 4: Simplify right side
    115,072.31x = 60,582,622,826.39
  5. Step 5: Solve for x
    x = 60,582,622,826.39/115,072.31
  6. Step 6: Final answer
    x = 526,474.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.