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Finding the Third Proportional to 192,105 and 286,601

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Solution

The third proportional to 192,105 and 286,601 is: 427,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,105 : 286,601 = 286,601 : x
  2. Step 2: Convert to fraction form
    192,105/286,601 = 286,601/x
  3. Step 3: Cross multiply
    192,105x = 286,601 × 286,601
  4. Step 4: Simplify right side
    192,105x = 82,140,133,201
  5. Step 5: Solve for x
    x = 82,140,133,201/192,105
  6. Step 6: Final answer
    x = 427,579.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.