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Finding the Third Proportional to 164,296 and 383,956

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Solution

The third proportional to 164,296 and 383,956 is: 897,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,296 : 383,956 = 383,956 : x
  2. Step 2: Convert to fraction form
    164,296/383,956 = 383,956/x
  3. Step 3: Cross multiply
    164,296x = 383,956 × 383,956
  4. Step 4: Simplify right side
    164,296x = 147,422,209,936
  5. Step 5: Solve for x
    x = 147,422,209,936/164,296
  6. Step 6: Final answer
    x = 897,296.40

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.