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Finding the Third Proportional to 164,413.13 and 261,817.31

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Solution

The third proportional to 164,413.13 and 261,817.31 is: 416,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,413.13 : 261,817.31 = 261,817.31 : x
  2. Step 2: Convert to fraction form
    164,413.13/261,817.31 = 261,817.31/x
  3. Step 3: Cross multiply
    164,413.13x = 261,817.31 × 261,817.31
  4. Step 4: Simplify right side
    164,413.13x = 68,548,305,124.72
  5. Step 5: Solve for x
    x = 68,548,305,124.72/164,413.13
  6. Step 6: Final answer
    x = 416,927.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.