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Finding the Third Proportional to 201,714 and 274,082

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Solution

The third proportional to 201,714 and 274,082 is: 372,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714 : 274,082 = 274,082 : x
  2. Step 2: Convert to fraction form
    201,714/274,082 = 274,082/x
  3. Step 3: Cross multiply
    201,714x = 274,082 × 274,082
  4. Step 4: Simplify right side
    201,714x = 75,120,942,724
  5. Step 5: Solve for x
    x = 75,120,942,724/201,714
  6. Step 6: Final answer
    x = 372,413.13

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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.