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Finding the Third Proportional to 168,954 and 236,209

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Solution

The third proportional to 168,954 and 236,209 is: 330,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,954 : 236,209 = 236,209 : x
  2. Step 2: Convert to fraction form
    168,954/236,209 = 236,209/x
  3. Step 3: Cross multiply
    168,954x = 236,209 × 236,209
  4. Step 4: Simplify right side
    168,954x = 55,794,691,681
  5. Step 5: Solve for x
    x = 55,794,691,681/168,954
  6. Step 6: Final answer
    x = 330,235.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.