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Finding the Third Proportional to 141,333 and 198,075

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Solution

The third proportional to 141,333 and 198,075 is: 277,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,333 : 198,075 = 198,075 : x
  2. Step 2: Convert to fraction form
    141,333/198,075 = 198,075/x
  3. Step 3: Cross multiply
    141,333x = 198,075 × 198,075
  4. Step 4: Simplify right side
    141,333x = 39,233,705,625
  5. Step 5: Solve for x
    x = 39,233,705,625/141,333
  6. Step 6: Final answer
    x = 277,597.63

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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.