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Finding the Third Proportional to 144,629.93 and 311,401.34

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Solution

The third proportional to 144,629.93 and 311,401.34 is: 670,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,629.93 : 311,401.34 = 311,401.34 : x
  2. Step 2: Convert to fraction form
    144,629.93/311,401.34 = 311,401.34/x
  3. Step 3: Cross multiply
    144,629.93x = 311,401.34 × 311,401.34
  4. Step 4: Simplify right side
    144,629.93x = 96,970,792,023.66
  5. Step 5: Solve for x
    x = 96,970,792,023.66/144,629.93
  6. Step 6: Final answer
    x = 670,475.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.