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Finding the Third Proportional to 201,724 and 274,098

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Solution

The third proportional to 201,724 and 274,098 is: 372,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,724 : 274,098 = 274,098 : x
  2. Step 2: Convert to fraction form
    201,724/274,098 = 274,098/x
  3. Step 3: Cross multiply
    201,724x = 274,098 × 274,098
  4. Step 4: Simplify right side
    201,724x = 75,129,713,604
  5. Step 5: Solve for x
    x = 75,129,713,604/201,724
  6. Step 6: Final answer
    x = 372,438.15

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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.