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Finding the Third Proportional to 190,729 and 233,375

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Solution

The third proportional to 190,729 and 233,375 is: 285,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,729 : 233,375 = 233,375 : x
  2. Step 2: Convert to fraction form
    190,729/233,375 = 233,375/x
  3. Step 3: Cross multiply
    190,729x = 233,375 × 233,375
  4. Step 4: Simplify right side
    190,729x = 54,463,890,625
  5. Step 5: Solve for x
    x = 54,463,890,625/190,729
  6. Step 6: Final answer
    x = 285,556.42

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.