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Finding the Third Proportional to 166,600 and 362,780

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Solution

The third proportional to 166,600 and 362,780 is: 789,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,600 : 362,780 = 362,780 : x
  2. Step 2: Convert to fraction form
    166,600/362,780 = 362,780/x
  3. Step 3: Cross multiply
    166,600x = 362,780 × 362,780
  4. Step 4: Simplify right side
    166,600x = 131,609,328,400
  5. Step 5: Solve for x
    x = 131,609,328,400/166,600
  6. Step 6: Final answer
    x = 789,971.96

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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.