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Finding the Third Proportional to 201,721 and 274,093

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Solution

The third proportional to 201,721 and 274,093 is: 372,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,721 : 274,093 = 274,093 : x
  2. Step 2: Convert to fraction form
    201,721/274,093 = 274,093/x
  3. Step 3: Cross multiply
    201,721x = 274,093 × 274,093
  4. Step 4: Simplify right side
    201,721x = 75,126,972,649
  5. Step 5: Solve for x
    x = 75,126,972,649/201,721
  6. Step 6: Final answer
    x = 372,430.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.