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Finding the Third Proportional to 172,150.31 and 241,995.09

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Solution

The third proportional to 172,150.31 and 241,995.09 is: 340,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,150.31 : 241,995.09 = 241,995.09 : x
  2. Step 2: Convert to fraction form
    172,150.31/241,995.09 = 241,995.09/x
  3. Step 3: Cross multiply
    172,150.31x = 241,995.09 × 241,995.09
  4. Step 4: Simplify right side
    172,150.31x = 58,561,625,399.07
  5. Step 5: Solve for x
    x = 58,561,625,399.07/172,150.31
  6. Step 6: Final answer
    x = 340,177.28

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