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Finding the Third Proportional to 201,726 and 274,101

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Solution

The third proportional to 201,726 and 274,101 is: 372,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,726 : 274,101 = 274,101 : x
  2. Step 2: Convert to fraction form
    201,726/274,101 = 274,101/x
  3. Step 3: Cross multiply
    201,726x = 274,101 × 274,101
  4. Step 4: Simplify right side
    201,726x = 75,131,358,201
  5. Step 5: Solve for x
    x = 75,131,358,201/201,726
  6. Step 6: Final answer
    x = 372,442.61

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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.