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Finding the Third Proportional to 198,140 and 300,994

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Solution

The third proportional to 198,140 and 300,994 is: 457,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,140 : 300,994 = 300,994 : x
  2. Step 2: Convert to fraction form
    198,140/300,994 = 300,994/x
  3. Step 3: Cross multiply
    198,140x = 300,994 × 300,994
  4. Step 4: Simplify right side
    198,140x = 90,597,388,036
  5. Step 5: Solve for x
    x = 90,597,388,036/198,140
  6. Step 6: Final answer
    x = 457,239.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.