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Finding the Third Proportional to 201,182 and 436,966

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Solution

The third proportional to 201,182 and 436,966 is: 949,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,182 : 436,966 = 436,966 : x
  2. Step 2: Convert to fraction form
    201,182/436,966 = 436,966/x
  3. Step 3: Cross multiply
    201,182x = 436,966 × 436,966
  4. Step 4: Simplify right side
    201,182x = 190,939,285,156
  5. Step 5: Solve for x
    x = 190,939,285,156/201,182
  6. Step 6: Final answer
    x = 949,087.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.