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Finding the Third Proportional to 174,717 and 374,334.75

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Solution

The third proportional to 174,717 and 374,334.75 is: 802,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,717 : 374,334.75 = 374,334.75 : x
  2. Step 2: Convert to fraction form
    174,717/374,334.75 = 374,334.75/x
  3. Step 3: Cross multiply
    174,717x = 374,334.75 × 374,334.75
  4. Step 4: Simplify right side
    174,717x = 140,126,505,057.56
  5. Step 5: Solve for x
    x = 140,126,505,057.56/174,717
  6. Step 6: Final answer
    x = 802,019.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.