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Finding the Third Proportional to 167,533.31 and 361,305.56

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Solution

The third proportional to 167,533.31 and 361,305.56 is: 779,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,533.31 : 361,305.56 = 361,305.56 : x
  2. Step 2: Convert to fraction form
    167,533.31/361,305.56 = 361,305.56/x
  3. Step 3: Cross multiply
    167,533.31x = 361,305.56 × 361,305.56
  4. Step 4: Simplify right side
    167,533.31x = 130,541,709,493.44
  5. Step 5: Solve for x
    x = 130,541,709,493.44/167,533.31
  6. Step 6: Final answer
    x = 779,198.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.