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Finding the Third Proportional to 194,608 and 419,600

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Solution

The third proportional to 194,608 and 419,600 is: 904,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,608 : 419,600 = 419,600 : x
  2. Step 2: Convert to fraction form
    194,608/419,600 = 419,600/x
  3. Step 3: Cross multiply
    194,608x = 419,600 × 419,600
  4. Step 4: Simplify right side
    194,608x = 176,064,160,000
  5. Step 5: Solve for x
    x = 176,064,160,000/194,608
  6. Step 6: Final answer
    x = 904,711.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.