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Finding the Third Proportional to 141,296 and 198,026

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Solution

The third proportional to 141,296 and 198,026 is: 277,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,296 : 198,026 = 198,026 : x
  2. Step 2: Convert to fraction form
    141,296/198,026 = 198,026/x
  3. Step 3: Cross multiply
    141,296x = 198,026 × 198,026
  4. Step 4: Simplify right side
    141,296x = 39,214,296,676
  5. Step 5: Solve for x
    x = 39,214,296,676/141,296
  6. Step 6: Final answer
    x = 277,532.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.