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Finding the Third Proportional to 180,974.25 and 385,982.72

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Solution

The third proportional to 180,974.25 and 385,982.72 is: 823,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,974.25 : 385,982.72 = 385,982.72 : x
  2. Step 2: Convert to fraction form
    180,974.25/385,982.72 = 385,982.72/x
  3. Step 3: Cross multiply
    180,974.25x = 385,982.72 × 385,982.72
  4. Step 4: Simplify right side
    180,974.25x = 148,982,659,173.64
  5. Step 5: Solve for x
    x = 148,982,659,173.64/180,974.25
  6. Step 6: Final answer
    x = 823,225.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.