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Finding the Third Proportional to 165,786.75 and 236,522.53

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Solution

The third proportional to 165,786.75 and 236,522.53 is: 337,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,786.75 : 236,522.53 = 236,522.53 : x
  2. Step 2: Convert to fraction form
    165,786.75/236,522.53 = 236,522.53/x
  3. Step 3: Cross multiply
    165,786.75x = 236,522.53 × 236,522.53
  4. Step 4: Simplify right side
    165,786.75x = 55,942,907,788.91
  5. Step 5: Solve for x
    x = 55,942,907,788.91/165,786.75
  6. Step 6: Final answer
    x = 337,438.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.