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Finding the Third Proportional to 201,723 and 274,097

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Solution

The third proportional to 201,723 and 274,097 is: 372,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,723 : 274,097 = 274,097 : x
  2. Step 2: Convert to fraction form
    201,723/274,097 = 274,097/x
  3. Step 3: Cross multiply
    201,723x = 274,097 × 274,097
  4. Step 4: Simplify right side
    201,723x = 75,129,165,409
  5. Step 5: Solve for x
    x = 75,129,165,409/201,723
  6. Step 6: Final answer
    x = 372,437.28

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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.