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Finding the Third Proportional to 172,150.31 and 241,996.78

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Solution

The third proportional to 172,150.31 and 241,996.78 is: 340,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,150.31 : 241,996.78 = 241,996.78 : x
  2. Step 2: Convert to fraction form
    172,150.31/241,996.78 = 241,996.78/x
  3. Step 3: Cross multiply
    172,150.31x = 241,996.78 × 241,996.78
  4. Step 4: Simplify right side
    172,150.31x = 58,562,442,135.36
  5. Step 5: Solve for x
    x = 58,562,442,135.36/172,150.31
  6. Step 6: Final answer
    x = 340,182.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.