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Finding the Third Proportional to 154,804 and 231,606

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Solution

The third proportional to 154,804 and 231,606 is: 346,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,804 : 231,606 = 231,606 : x
  2. Step 2: Convert to fraction form
    154,804/231,606 = 231,606/x
  3. Step 3: Cross multiply
    154,804x = 231,606 × 231,606
  4. Step 4: Simplify right side
    154,804x = 53,641,339,236
  5. Step 5: Solve for x
    x = 53,641,339,236/154,804
  6. Step 6: Final answer
    x = 346,511.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.