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Finding the Third Proportional to 203,812 and 293,567

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Solution

The third proportional to 203,812 and 293,567 is: 422,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,812 : 293,567 = 293,567 : x
  2. Step 2: Convert to fraction form
    203,812/293,567 = 293,567/x
  3. Step 3: Cross multiply
    203,812x = 293,567 × 293,567
  4. Step 4: Simplify right side
    203,812x = 86,181,583,489
  5. Step 5: Solve for x
    x = 86,181,583,489/203,812
  6. Step 6: Final answer
    x = 422,848.43

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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.