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Finding the Third Proportional to 192,397 and 295,977

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Solution

The third proportional to 192,397 and 295,977 is: 455,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,397 : 295,977 = 295,977 : x
  2. Step 2: Convert to fraction form
    192,397/295,977 = 295,977/x
  3. Step 3: Cross multiply
    192,397x = 295,977 × 295,977
  4. Step 4: Simplify right side
    192,397x = 87,602,384,529
  5. Step 5: Solve for x
    x = 87,602,384,529/192,397
  6. Step 6: Final answer
    x = 455,320.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.