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Finding the Third Proportional to 192,868 and 298,038

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Solution

The third proportional to 192,868 and 298,038 is: 460,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,868 : 298,038 = 298,038 : x
  2. Step 2: Convert to fraction form
    192,868/298,038 = 298,038/x
  3. Step 3: Cross multiply
    192,868x = 298,038 × 298,038
  4. Step 4: Simplify right side
    192,868x = 88,826,649,444
  5. Step 5: Solve for x
    x = 88,826,649,444/192,868
  6. Step 6: Final answer
    x = 460,556.70

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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.