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Finding the Third Proportional to 170,413.50 and 264,622.50

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Solution

The third proportional to 170,413.50 and 264,622.50 is: 410,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,413.50 : 264,622.50 = 264,622.50 : x
  2. Step 2: Convert to fraction form
    170,413.50/264,622.50 = 264,622.50/x
  3. Step 3: Cross multiply
    170,413.50x = 264,622.50 × 264,622.50
  4. Step 4: Simplify right side
    170,413.50x = 70,025,067,506.25
  5. Step 5: Solve for x
    x = 70,025,067,506.25/170,413.50
  6. Step 6: Final answer
    x = 410,912.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.