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Finding the Third Proportional to 201,917 and 436,858

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Solution

The third proportional to 201,917 and 436,858 is: 945,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,917 : 436,858 = 436,858 : x
  2. Step 2: Convert to fraction form
    201,917/436,858 = 436,858/x
  3. Step 3: Cross multiply
    201,917x = 436,858 × 436,858
  4. Step 4: Simplify right side
    201,917x = 190,844,912,164
  5. Step 5: Solve for x
    x = 190,844,912,164/201,917
  6. Step 6: Final answer
    x = 945,165.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.