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Finding the Third Proportional to 201,756 and 436,910

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Solution

The third proportional to 201,756 and 436,910 is: 946,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,756 : 436,910 = 436,910 : x
  2. Step 2: Convert to fraction form
    201,756/436,910 = 436,910/x
  3. Step 3: Cross multiply
    201,756x = 436,910 × 436,910
  4. Step 4: Simplify right side
    201,756x = 190,890,348,100
  5. Step 5: Solve for x
    x = 190,890,348,100/201,756
  6. Step 6: Final answer
    x = 946,144.59

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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.