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Finding the Third Proportional to 169,477.31 and 262,413.84

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Solution

The third proportional to 169,477.31 and 262,413.84 is: 406,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,477.31 : 262,413.84 = 262,413.84 : x
  2. Step 2: Convert to fraction form
    169,477.31/262,413.84 = 262,413.84/x
  3. Step 3: Cross multiply
    169,477.31x = 262,413.84 × 262,413.84
  4. Step 4: Simplify right side
    169,477.31x = 68,861,025,391.65
  5. Step 5: Solve for x
    x = 68,861,025,391.65/169,477.31
  6. Step 6: Final answer
    x = 406,314.12

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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.