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Finding the Third Proportional to 201,761 and 436,921

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Solution

The third proportional to 201,761 and 436,921 is: 946,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,761 : 436,921 = 436,921 : x
  2. Step 2: Convert to fraction form
    201,761/436,921 = 436,921/x
  3. Step 3: Cross multiply
    201,761x = 436,921 × 436,921
  4. Step 4: Simplify right side
    201,761x = 190,899,960,241
  5. Step 5: Solve for x
    x = 190,899,960,241/201,761
  6. Step 6: Final answer
    x = 946,168.79

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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.