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Finding the Third Proportional to 203,745 and 445,353

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Solution

The third proportional to 203,745 and 445,353 is: 973,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,745 : 445,353 = 445,353 : x
  2. Step 2: Convert to fraction form
    203,745/445,353 = 445,353/x
  3. Step 3: Cross multiply
    203,745x = 445,353 × 445,353
  4. Step 4: Simplify right side
    203,745x = 198,339,294,609
  5. Step 5: Solve for x
    x = 198,339,294,609/203,745
  6. Step 6: Final answer
    x = 973,468.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.