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Finding the Third Proportional to 180,954 and 385,956

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Solution

The third proportional to 180,954 and 385,956 is: 823,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,954 : 385,956 = 385,956 : x
  2. Step 2: Convert to fraction form
    180,954/385,956 = 385,956/x
  3. Step 3: Cross multiply
    180,954x = 385,956 × 385,956
  4. Step 4: Simplify right side
    180,954x = 148,962,033,936
  5. Step 5: Solve for x
    x = 148,962,033,936/180,954
  6. Step 6: Final answer
    x = 823,203.87

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Why These Related Problems?

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