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Finding the Third Proportional to 203,962 and 293,766

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Solution

The third proportional to 203,962 and 293,766 is: 423,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,962 : 293,766 = 293,766 : x
  2. Step 2: Convert to fraction form
    203,962/293,766 = 293,766/x
  3. Step 3: Cross multiply
    203,962x = 293,766 × 293,766
  4. Step 4: Simplify right side
    203,962x = 86,298,462,756
  5. Step 5: Solve for x
    x = 86,298,462,756/203,962
  6. Step 6: Final answer
    x = 423,110.49

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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.