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Finding the Third Proportional to 275,205 and 366,981

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Solution

The third proportional to 275,205 and 366,981 is: 489,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,205 : 366,981 = 366,981 : x
  2. Step 2: Convert to fraction form
    275,205/366,981 = 366,981/x
  3. Step 3: Cross multiply
    275,205x = 366,981 × 366,981
  4. Step 4: Simplify right side
    275,205x = 134,675,054,361
  5. Step 5: Solve for x
    x = 134,675,054,361/275,205
  6. Step 6: Final answer
    x = 489,362.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.