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Finding the Third Proportional to 186,296 and 295,198

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Solution

The third proportional to 186,296 and 295,198 is: 467,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,296 : 295,198 = 295,198 : x
  2. Step 2: Convert to fraction form
    186,296/295,198 = 295,198/x
  3. Step 3: Cross multiply
    186,296x = 295,198 × 295,198
  4. Step 4: Simplify right side
    186,296x = 87,141,859,204
  5. Step 5: Solve for x
    x = 87,141,859,204/186,296
  6. Step 6: Final answer
    x = 467,760.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.