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Finding the Third Proportional to 155,736.75 and 238,745.25

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Solution

The third proportional to 155,736.75 and 238,745.25 is: 365,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,736.75 : 238,745.25 = 238,745.25 : x
  2. Step 2: Convert to fraction form
    155,736.75/238,745.25 = 238,745.25/x
  3. Step 3: Cross multiply
    155,736.75x = 238,745.25 × 238,745.25
  4. Step 4: Simplify right side
    155,736.75x = 56,999,294,397.56
  5. Step 5: Solve for x
    x = 56,999,294,397.56/155,736.75
  6. Step 6: Final answer
    x = 365,997.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.