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Finding the Third Proportional to 201,493 and 441,194

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Solution

The third proportional to 201,493 and 441,194 is: 966,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,493 : 441,194 = 441,194 : x
  2. Step 2: Convert to fraction form
    201,493/441,194 = 441,194/x
  3. Step 3: Cross multiply
    201,493x = 441,194 × 441,194
  4. Step 4: Simplify right side
    201,493x = 194,652,145,636
  5. Step 5: Solve for x
    x = 194,652,145,636/201,493
  6. Step 6: Final answer
    x = 966,049.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.