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Finding the Third Proportional to 164,183 and 356,390

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Solution

The third proportional to 164,183 and 356,390 is: 773,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,183 : 356,390 = 356,390 : x
  2. Step 2: Convert to fraction form
    164,183/356,390 = 356,390/x
  3. Step 3: Cross multiply
    164,183x = 356,390 × 356,390
  4. Step 4: Simplify right side
    164,183x = 127,013,832,100
  5. Step 5: Solve for x
    x = 127,013,832,100/164,183
  6. Step 6: Final answer
    x = 773,611.35

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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.