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Finding the Third Proportional to 203,968.13 and 441,834.75

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Solution

The third proportional to 203,968.13 and 441,834.75 is: 957,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,968.13 : 441,834.75 = 441,834.75 : x
  2. Step 2: Convert to fraction form
    203,968.13/441,834.75 = 441,834.75/x
  3. Step 3: Cross multiply
    203,968.13x = 441,834.75 × 441,834.75
  4. Step 4: Simplify right side
    203,968.13x = 195,217,946,307.56
  5. Step 5: Solve for x
    x = 195,217,946,307.56/203,968.13
  6. Step 6: Final answer
    x = 957,100.26

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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.