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Finding the Third Proportional to 168,083 and 364,167

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Solution

The third proportional to 168,083 and 364,167 is: 789,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,083 : 364,167 = 364,167 : x
  2. Step 2: Convert to fraction form
    168,083/364,167 = 364,167/x
  3. Step 3: Cross multiply
    168,083x = 364,167 × 364,167
  4. Step 4: Simplify right side
    168,083x = 132,617,603,889
  5. Step 5: Solve for x
    x = 132,617,603,889/168,083
  6. Step 6: Final answer
    x = 789,000.70

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Why These Related Problems?

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