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Finding the Third Proportional to 150,675.19 and 227,553.05

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Solution

The third proportional to 150,675.19 and 227,553.05 is: 343,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,675.19 : 227,553.05 = 227,553.05 : x
  2. Step 2: Convert to fraction form
    150,675.19/227,553.05 = 227,553.05/x
  3. Step 3: Cross multiply
    150,675.19x = 227,553.05 × 227,553.05
  4. Step 4: Simplify right side
    150,675.19x = 51,780,389,142.10
  5. Step 5: Solve for x
    x = 51,780,389,142.10/150,675.19
  6. Step 6: Final answer
    x = 343,655.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.