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Finding the Third Proportional to 202,168 and 313,910

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Solution

The third proportional to 202,168 and 313,910 is: 487,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,168 : 313,910 = 313,910 : x
  2. Step 2: Convert to fraction form
    202,168/313,910 = 313,910/x
  3. Step 3: Cross multiply
    202,168x = 313,910 × 313,910
  4. Step 4: Simplify right side
    202,168x = 98,539,488,100
  5. Step 5: Solve for x
    x = 98,539,488,100/202,168
  6. Step 6: Final answer
    x = 487,413.87

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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.