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Finding the Third Proportional to 201,721 and 274,094

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Solution

The third proportional to 201,721 and 274,094 is: 372,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,721 : 274,094 = 274,094 : x
  2. Step 2: Convert to fraction form
    201,721/274,094 = 274,094/x
  3. Step 3: Cross multiply
    201,721x = 274,094 × 274,094
  4. Step 4: Simplify right side
    201,721x = 75,127,520,836
  5. Step 5: Solve for x
    x = 75,127,520,836/201,721
  6. Step 6: Final answer
    x = 372,432.82

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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.