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Finding the Third Proportional to 167,413.50 and 351,175.50

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Solution

The third proportional to 167,413.50 and 351,175.50 is: 736,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,413.50 : 351,175.50 = 351,175.50 : x
  2. Step 2: Convert to fraction form
    167,413.50/351,175.50 = 351,175.50/x
  3. Step 3: Cross multiply
    167,413.50x = 351,175.50 × 351,175.50
  4. Step 4: Simplify right side
    167,413.50x = 123,324,231,800.25
  5. Step 5: Solve for x
    x = 123,324,231,800.25/167,413.50
  6. Step 6: Final answer
    x = 736,644.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.