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Finding the Third Proportional to 201,191 and 303,838

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Solution

The third proportional to 201,191 and 303,838 is: 458,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,191 : 303,838 = 303,838 : x
  2. Step 2: Convert to fraction form
    201,191/303,838 = 303,838/x
  3. Step 3: Cross multiply
    201,191x = 303,838 × 303,838
  4. Step 4: Simplify right side
    201,191x = 92,317,530,244
  5. Step 5: Solve for x
    x = 92,317,530,244/201,191
  6. Step 6: Final answer
    x = 458,855.17

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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.