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Finding the Third Proportional to 166,890 and 362,094

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Solution

The third proportional to 166,890 and 362,094 is: 785,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,890 : 362,094 = 362,094 : x
  2. Step 2: Convert to fraction form
    166,890/362,094 = 362,094/x
  3. Step 3: Cross multiply
    166,890x = 362,094 × 362,094
  4. Step 4: Simplify right side
    166,890x = 131,112,064,836
  5. Step 5: Solve for x
    x = 131,112,064,836/166,890
  6. Step 6: Final answer
    x = 785,619.66

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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.