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Finding the Third Proportional to 201,187 and 303,832

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Solution

The third proportional to 201,187 and 303,832 is: 458,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,187 : 303,832 = 303,832 : x
  2. Step 2: Convert to fraction form
    201,187/303,832 = 303,832/x
  3. Step 3: Cross multiply
    201,187x = 303,832 × 303,832
  4. Step 4: Simplify right side
    201,187x = 92,313,884,224
  5. Step 5: Solve for x
    x = 92,313,884,224/201,187
  6. Step 6: Final answer
    x = 458,846.17

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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.