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Finding the Third Proportional to 201,642 and 274,014

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Solution

The third proportional to 201,642 and 274,014 is: 372,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642 : 274,014 = 274,014 : x
  2. Step 2: Convert to fraction form
    201,642/274,014 = 274,014/x
  3. Step 3: Cross multiply
    201,642x = 274,014 × 274,014
  4. Step 4: Simplify right side
    201,642x = 75,083,672,196
  5. Step 5: Solve for x
    x = 75,083,672,196/201,642
  6. Step 6: Final answer
    x = 372,361.27

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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.