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Finding the Third Proportional to 141,003.75 and 324,661.50

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Solution

The third proportional to 141,003.75 and 324,661.50 is: 747,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,003.75 : 324,661.50 = 324,661.50 : x
  2. Step 2: Convert to fraction form
    141,003.75/324,661.50 = 324,661.50/x
  3. Step 3: Cross multiply
    141,003.75x = 324,661.50 × 324,661.50
  4. Step 4: Simplify right side
    141,003.75x = 105,405,089,582.25
  5. Step 5: Solve for x
    x = 105,405,089,582.25/141,003.75
  6. Step 6: Final answer
    x = 747,533.95

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.