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Finding the Third Proportional to 201,757 and 436,912

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Solution

The third proportional to 201,757 and 436,912 is: 946,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,757 : 436,912 = 436,912 : x
  2. Step 2: Convert to fraction form
    201,757/436,912 = 436,912/x
  3. Step 3: Cross multiply
    201,757x = 436,912 × 436,912
  4. Step 4: Simplify right side
    201,757x = 190,892,095,744
  5. Step 5: Solve for x
    x = 190,892,095,744/201,757
  6. Step 6: Final answer
    x = 946,148.56

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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.