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Finding the Third Proportional to 223,831 and 347,093.25

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Solution

The third proportional to 223,831 and 347,093.25 is: 538,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,831 : 347,093.25 = 347,093.25 : x
  2. Step 2: Convert to fraction form
    223,831/347,093.25 = 347,093.25/x
  3. Step 3: Cross multiply
    223,831x = 347,093.25 × 347,093.25
  4. Step 4: Simplify right side
    223,831x = 120,473,724,195.56
  5. Step 5: Solve for x
    x = 120,473,724,195.56/223,831
  6. Step 6: Final answer
    x = 538,235.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.