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Finding the Third Proportional to 177,190 and 374,390

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Solution

The third proportional to 177,190 and 374,390 is: 791,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,190 : 374,390 = 374,390 : x
  2. Step 2: Convert to fraction form
    177,190/374,390 = 374,390/x
  3. Step 3: Cross multiply
    177,190x = 374,390 × 374,390
  4. Step 4: Simplify right side
    177,190x = 140,167,872,100
  5. Step 5: Solve for x
    x = 140,167,872,100/177,190
  6. Step 6: Final answer
    x = 791,059.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.