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Finding the Third Proportional to 174,509.44 and 379,920.09

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Solution

The third proportional to 174,509.44 and 379,920.09 is: 827,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,509.44 : 379,920.09 = 379,920.09 : x
  2. Step 2: Convert to fraction form
    174,509.44/379,920.09 = 379,920.09/x
  3. Step 3: Cross multiply
    174,509.44x = 379,920.09 × 379,920.09
  4. Step 4: Simplify right side
    174,509.44x = 144,339,277,635.01
  5. Step 5: Solve for x
    x = 144,339,277,635.01/174,509.44
  6. Step 6: Final answer
    x = 827,114.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.