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Finding the Third Proportional to 192,273.75 and 298,488.38

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Solution

The third proportional to 192,273.75 and 298,488.38 is: 463,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,273.75 : 298,488.38 = 298,488.38 : x
  2. Step 2: Convert to fraction form
    192,273.75/298,488.38 = 298,488.38/x
  3. Step 3: Cross multiply
    192,273.75x = 298,488.38 × 298,488.38
  4. Step 4: Simplify right side
    192,273.75x = 89,095,310,010.14
  5. Step 5: Solve for x
    x = 89,095,310,010.14/192,273.75
  6. Step 6: Final answer
    x = 463,377.40

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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.