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Finding the Third Proportional to 141,183 and 197,883

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Solution

The third proportional to 141,183 and 197,883 is: 277,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,183 : 197,883 = 197,883 : x
  2. Step 2: Convert to fraction form
    141,183/197,883 = 197,883/x
  3. Step 3: Cross multiply
    141,183x = 197,883 × 197,883
  4. Step 4: Simplify right side
    141,183x = 39,157,681,689
  5. Step 5: Solve for x
    x = 39,157,681,689/141,183
  6. Step 6: Final answer
    x = 277,354.08

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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.