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Finding the Third Proportional to 181,035.50 and 253,218.75

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Solution

The third proportional to 181,035.50 and 253,218.75 is: 354,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,035.50 : 253,218.75 = 253,218.75 : x
  2. Step 2: Convert to fraction form
    181,035.50/253,218.75 = 253,218.75/x
  3. Step 3: Cross multiply
    181,035.50x = 253,218.75 × 253,218.75
  4. Step 4: Simplify right side
    181,035.50x = 64,119,735,351.56
  5. Step 5: Solve for x
    x = 64,119,735,351.56/181,035.50
  6. Step 6: Final answer
    x = 354,183.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.