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Finding the Third Proportional to 198,351 and 436,063

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Solution

The third proportional to 198,351 and 436,063 is: 958,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,351 : 436,063 = 436,063 : x
  2. Step 2: Convert to fraction form
    198,351/436,063 = 436,063/x
  3. Step 3: Cross multiply
    198,351x = 436,063 × 436,063
  4. Step 4: Simplify right side
    198,351x = 190,150,939,969
  5. Step 5: Solve for x
    x = 190,150,939,969/198,351
  6. Step 6: Final answer
    x = 958,658.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.