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Finding the Third Proportional to 184,815 and 267,105

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Solution

The third proportional to 184,815 and 267,105 is: 386,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,815 : 267,105 = 267,105 : x
  2. Step 2: Convert to fraction form
    184,815/267,105 = 267,105/x
  3. Step 3: Cross multiply
    184,815x = 267,105 × 267,105
  4. Step 4: Simplify right side
    184,815x = 71,345,081,025
  5. Step 5: Solve for x
    x = 71,345,081,025/184,815
  6. Step 6: Final answer
    x = 386,035.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.