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Finding the Third Proportional to 189,999 and 267,229.13

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Solution

The third proportional to 189,999 and 267,229.13 is: 375,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,999 : 267,229.13 = 267,229.13 : x
  2. Step 2: Convert to fraction form
    189,999/267,229.13 = 267,229.13/x
  3. Step 3: Cross multiply
    189,999x = 267,229.13 × 267,229.13
  4. Step 4: Simplify right side
    189,999x = 71,411,405,248.27
  5. Step 5: Solve for x
    x = 71,411,405,248.27/189,999
  6. Step 6: Final answer
    x = 375,851.48

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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.