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Finding the Third Proportional to 170,055 and 371,194

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Solution

The third proportional to 170,055 and 371,194 is: 810,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,055 : 371,194 = 371,194 : x
  2. Step 2: Convert to fraction form
    170,055/371,194 = 371,194/x
  3. Step 3: Cross multiply
    170,055x = 371,194 × 371,194
  4. Step 4: Simplify right side
    170,055x = 137,784,985,636
  5. Step 5: Solve for x
    x = 137,784,985,636/170,055
  6. Step 6: Final answer
    x = 810,237.78

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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.