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Finding the Third Proportional to 156,944.25 and 343,230.75

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Solution

The third proportional to 156,944.25 and 343,230.75 is: 750,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,944.25 : 343,230.75 = 343,230.75 : x
  2. Step 2: Convert to fraction form
    156,944.25/343,230.75 = 343,230.75/x
  3. Step 3: Cross multiply
    156,944.25x = 343,230.75 × 343,230.75
  4. Step 4: Simplify right side
    156,944.25x = 117,807,347,745.56
  5. Step 5: Solve for x
    x = 117,807,347,745.56/156,944.25
  6. Step 6: Final answer
    x = 750,631.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.