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Finding the Third Proportional to 105,004.50 and 246,825

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Solution

The third proportional to 105,004.50 and 246,825 is: 580,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,004.50 : 246,825 = 246,825 : x
  2. Step 2: Convert to fraction form
    105,004.50/246,825 = 246,825/x
  3. Step 3: Cross multiply
    105,004.50x = 246,825 × 246,825
  4. Step 4: Simplify right side
    105,004.50x = 60,922,580,625
  5. Step 5: Solve for x
    x = 60,922,580,625/105,004.50
  6. Step 6: Final answer
    x = 580,190.19

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.