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Finding the Third Proportional to 170,648 and 367,054

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Solution

The third proportional to 170,648 and 367,054 is: 789,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,648 : 367,054 = 367,054 : x
  2. Step 2: Convert to fraction form
    170,648/367,054 = 367,054/x
  3. Step 3: Cross multiply
    170,648x = 367,054 × 367,054
  4. Step 4: Simplify right side
    170,648x = 134,728,638,916
  5. Step 5: Solve for x
    x = 134,728,638,916/170,648
  6. Step 6: Final answer
    x = 789,511.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.