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Finding the Third Proportional to 194,712.75 and 308,745.25

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Solution

The third proportional to 194,712.75 and 308,745.25 is: 489,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,712.75 : 308,745.25 = 308,745.25 : x
  2. Step 2: Convert to fraction form
    194,712.75/308,745.25 = 308,745.25/x
  3. Step 3: Cross multiply
    194,712.75x = 308,745.25 × 308,745.25
  4. Step 4: Simplify right side
    194,712.75x = 95,323,629,397.56
  5. Step 5: Solve for x
    x = 95,323,629,397.56/194,712.75
  6. Step 6: Final answer
    x = 489,560.29

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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.