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Finding the Third Proportional to 120,189.56 and 262,704.56

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Solution

The third proportional to 120,189.56 and 262,704.56 is: 574,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,189.56 : 262,704.56 = 262,704.56 : x
  2. Step 2: Convert to fraction form
    120,189.56/262,704.56 = 262,704.56/x
  3. Step 3: Cross multiply
    120,189.56x = 262,704.56 × 262,704.56
  4. Step 4: Simplify right side
    120,189.56x = 69,013,687,158.32
  5. Step 5: Solve for x
    x = 69,013,687,158.32/120,189.56
  6. Step 6: Final answer
    x = 574,206.99

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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.