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Finding the Third Proportional to 194,798 and 300,795

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Solution

The third proportional to 194,798 and 300,795 is: 464,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,798 : 300,795 = 300,795 : x
  2. Step 2: Convert to fraction form
    194,798/300,795 = 300,795/x
  3. Step 3: Cross multiply
    194,798x = 300,795 × 300,795
  4. Step 4: Simplify right side
    194,798x = 90,477,632,025
  5. Step 5: Solve for x
    x = 90,477,632,025/194,798
  6. Step 6: Final answer
    x = 464,469.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.