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Finding the Third Proportional to 173,323.13 and 363,413.25

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Solution

The third proportional to 173,323.13 and 363,413.25 is: 761,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,323.13 : 363,413.25 = 363,413.25 : x
  2. Step 2: Convert to fraction form
    173,323.13/363,413.25 = 363,413.25/x
  3. Step 3: Cross multiply
    173,323.13x = 363,413.25 × 363,413.25
  4. Step 4: Simplify right side
    173,323.13x = 132,069,190,275.56
  5. Step 5: Solve for x
    x = 132,069,190,275.56/173,323.13
  6. Step 6: Final answer
    x = 761,982.51

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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.