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Finding the Third Proportional to 192,276.84 and 298,494.84

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Solution

The third proportional to 192,276.84 and 298,494.84 is: 463,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,276.84 : 298,494.84 = 298,494.84 : x
  2. Step 2: Convert to fraction form
    192,276.84/298,494.84 = 298,494.84/x
  3. Step 3: Cross multiply
    192,276.84x = 298,494.84 × 298,494.84
  4. Step 4: Simplify right side
    192,276.84x = 89,099,171,745.34
  5. Step 5: Solve for x
    x = 89,099,171,745.34/192,276.84
  6. Step 6: Final answer
    x = 463,390.03

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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.