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Finding the Third Proportional to 184,732.31 and 397,952.44

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Solution

The third proportional to 184,732.31 and 397,952.44 is: 857,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,732.31 : 397,952.44 = 397,952.44 : x
  2. Step 2: Convert to fraction form
    184,732.31/397,952.44 = 397,952.44/x
  3. Step 3: Cross multiply
    184,732.31x = 397,952.44 × 397,952.44
  4. Step 4: Simplify right side
    184,732.31x = 158,366,142,512.19
  5. Step 5: Solve for x
    x = 158,366,142,512.19/184,732.31
  6. Step 6: Final answer
    x = 857,273.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.