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Finding the Third Proportional to 138,834 and 300,672

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Solution

The third proportional to 138,834 and 300,672 is: 651,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,834 : 300,672 = 300,672 : x
  2. Step 2: Convert to fraction form
    138,834/300,672 = 300,672/x
  3. Step 3: Cross multiply
    138,834x = 300,672 × 300,672
  4. Step 4: Simplify right side
    138,834x = 90,403,651,584
  5. Step 5: Solve for x
    x = 90,403,651,584/138,834
  6. Step 6: Final answer
    x = 651,163.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.