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Finding the Third Proportional to 203,624 and 337,425

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Solution

The third proportional to 203,624 and 337,425 is: 559,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,624 : 337,425 = 337,425 : x
  2. Step 2: Convert to fraction form
    203,624/337,425 = 337,425/x
  3. Step 3: Cross multiply
    203,624x = 337,425 × 337,425
  4. Step 4: Simplify right side
    203,624x = 113,855,630,625
  5. Step 5: Solve for x
    x = 113,855,630,625/203,624
  6. Step 6: Final answer
    x = 559,146.42

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.