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Finding the Third Proportional to 141,954 and 197,376

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Solution

The third proportional to 141,954 and 197,376 is: 274,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,954 : 197,376 = 197,376 : x
  2. Step 2: Convert to fraction form
    141,954/197,376 = 197,376/x
  3. Step 3: Cross multiply
    141,954x = 197,376 × 197,376
  4. Step 4: Simplify right side
    141,954x = 38,957,285,376
  5. Step 5: Solve for x
    x = 38,957,285,376/141,954
  6. Step 6: Final answer
    x = 274,435.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.