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Finding the Third Proportional to 221,605.50 and 313,596.38

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Solution

The third proportional to 221,605.50 and 313,596.38 is: 443,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,605.50 : 313,596.38 = 313,596.38 : x
  2. Step 2: Convert to fraction form
    221,605.50/313,596.38 = 313,596.38/x
  3. Step 3: Cross multiply
    221,605.50x = 313,596.38 × 313,596.38
  4. Step 4: Simplify right side
    221,605.50x = 98,342,686,413.14
  5. Step 5: Solve for x
    x = 98,342,686,413.14/221,605.50
  6. Step 6: Final answer
    x = 443,773.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.