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Finding the Third Proportional to 166,956 and 362,220

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Solution

The third proportional to 166,956 and 362,220 is: 785,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,956 : 362,220 = 362,220 : x
  2. Step 2: Convert to fraction form
    166,956/362,220 = 362,220/x
  3. Step 3: Cross multiply
    166,956x = 362,220 × 362,220
  4. Step 4: Simplify right side
    166,956x = 131,203,328,400
  5. Step 5: Solve for x
    x = 131,203,328,400/166,956
  6. Step 6: Final answer
    x = 785,855.72

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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.