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Finding the Third Proportional to 201,725 and 274,100

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Solution

The third proportional to 201,725 and 274,100 is: 372,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,725 : 274,100 = 274,100 : x
  2. Step 2: Convert to fraction form
    201,725/274,100 = 274,100/x
  3. Step 3: Cross multiply
    201,725x = 274,100 × 274,100
  4. Step 4: Simplify right side
    201,725x = 75,130,810,000
  5. Step 5: Solve for x
    x = 75,130,810,000/201,725
  6. Step 6: Final answer
    x = 372,441.74

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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.