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Finding the Third Proportional to 189,847.13 and 267,013.13

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Solution

The third proportional to 189,847.13 and 267,013.13 is: 375,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,847.13 : 267,013.13 = 267,013.13 : x
  2. Step 2: Convert to fraction form
    189,847.13/267,013.13 = 267,013.13/x
  3. Step 3: Cross multiply
    189,847.13x = 267,013.13 × 267,013.13
  4. Step 4: Simplify right side
    189,847.13x = 71,296,008,922.27
  5. Step 5: Solve for x
    x = 71,296,008,922.27/189,847.13
  6. Step 6: Final answer
    x = 375,544.32

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Why These Related Problems?

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