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Finding the Third Proportional to 171,722.25 and 372,999.75

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Solution

The third proportional to 171,722.25 and 372,999.75 is: 810,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,722.25 : 372,999.75 = 372,999.75 : x
  2. Step 2: Convert to fraction form
    171,722.25/372,999.75 = 372,999.75/x
  3. Step 3: Cross multiply
    171,722.25x = 372,999.75 × 372,999.75
  4. Step 4: Simplify right side
    171,722.25x = 139,128,813,500.06
  5. Step 5: Solve for x
    x = 139,128,813,500.06/171,722.25
  6. Step 6: Final answer
    x = 810,196.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.