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Finding the Third Proportional to 199,729.13 and 280,935

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Solution

The third proportional to 199,729.13 and 280,935 is: 395,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,729.13 : 280,935 = 280,935 : x
  2. Step 2: Convert to fraction form
    199,729.13/280,935 = 280,935/x
  3. Step 3: Cross multiply
    199,729.13x = 280,935 × 280,935
  4. Step 4: Simplify right side
    199,729.13x = 78,924,474,225
  5. Step 5: Solve for x
    x = 78,924,474,225/199,729.13
  6. Step 6: Final answer
    x = 395,157.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.