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Finding the Third Proportional to 201,759 and 436,917

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Solution

The third proportional to 201,759 and 436,917 is: 946,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,759 : 436,917 = 436,917 : x
  2. Step 2: Convert to fraction form
    201,759/436,917 = 436,917/x
  3. Step 3: Cross multiply
    201,759x = 436,917 × 436,917
  4. Step 4: Simplify right side
    201,759x = 190,896,464,889
  5. Step 5: Solve for x
    x = 190,896,464,889/201,759
  6. Step 6: Final answer
    x = 946,160.84

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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.