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Finding the Third Proportional to 174,408.19 and 356,212.69

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Solution

The third proportional to 174,408.19 and 356,212.69 is: 727,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,408.19 : 356,212.69 = 356,212.69 : x
  2. Step 2: Convert to fraction form
    174,408.19/356,212.69 = 356,212.69/x
  3. Step 3: Cross multiply
    174,408.19x = 356,212.69 × 356,212.69
  4. Step 4: Simplify right side
    174,408.19x = 126,887,478,735.97
  5. Step 5: Solve for x
    x = 126,887,478,735.97/174,408.19
  6. Step 6: Final answer
    x = 727,531.66

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.