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Finding the Third Proportional to 201,000 and 436,936

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Solution

The third proportional to 201,000 and 436,936 is: 949,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,000 : 436,936 = 436,936 : x
  2. Step 2: Convert to fraction form
    201,000/436,936 = 436,936/x
  3. Step 3: Cross multiply
    201,000x = 436,936 × 436,936
  4. Step 4: Simplify right side
    201,000x = 190,913,068,096
  5. Step 5: Solve for x
    x = 190,913,068,096/201,000
  6. Step 6: Final answer
    x = 949,816.26

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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.