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Finding the Third Proportional to 201,183 and 303,826

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Solution

The third proportional to 201,183 and 303,826 is: 458,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,183 : 303,826 = 303,826 : x
  2. Step 2: Convert to fraction form
    201,183/303,826 = 303,826/x
  3. Step 3: Cross multiply
    201,183x = 303,826 × 303,826
  4. Step 4: Simplify right side
    201,183x = 92,310,238,276
  5. Step 5: Solve for x
    x = 92,310,238,276/201,183
  6. Step 6: Final answer
    x = 458,837.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.