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Finding the Third Proportional to 138,111 and 300,825

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Solution

The third proportional to 138,111 and 300,825 is: 655,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,111 : 300,825 = 300,825 : x
  2. Step 2: Convert to fraction form
    138,111/300,825 = 300,825/x
  3. Step 3: Cross multiply
    138,111x = 300,825 × 300,825
  4. Step 4: Simplify right side
    138,111x = 90,495,680,625
  5. Step 5: Solve for x
    x = 90,495,680,625/138,111
  6. Step 6: Final answer
    x = 655,238.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.