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Finding the Third Proportional to 166,607 and 362,794

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Solution

The third proportional to 166,607 and 362,794 is: 789,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,607 : 362,794 = 362,794 : x
  2. Step 2: Convert to fraction form
    166,607/362,794 = 362,794/x
  3. Step 3: Cross multiply
    166,607x = 362,794 × 362,794
  4. Step 4: Simplify right side
    166,607x = 131,619,486,436
  5. Step 5: Solve for x
    x = 131,619,486,436/166,607
  6. Step 6: Final answer
    x = 789,999.74

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Why These Related Problems?

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