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Finding the Third Proportional to 203,987 and 293,848

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Solution

The third proportional to 203,987 and 293,848 is: 423,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,987 : 293,848 = 293,848 : x
  2. Step 2: Convert to fraction form
    203,987/293,848 = 293,848/x
  3. Step 3: Cross multiply
    203,987x = 293,848 × 293,848
  4. Step 4: Simplify right side
    203,987x = 86,346,647,104
  5. Step 5: Solve for x
    x = 86,346,647,104/203,987
  6. Step 6: Final answer
    x = 423,294.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.