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Finding the Third Proportional to 144,465.19 and 311,163.19

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Solution

The third proportional to 144,465.19 and 311,163.19 is: 670,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,465.19 : 311,163.19 = 311,163.19 : x
  2. Step 2: Convert to fraction form
    144,465.19/311,163.19 = 311,163.19/x
  3. Step 3: Cross multiply
    144,465.19x = 311,163.19 × 311,163.19
  4. Step 4: Simplify right side
    144,465.19x = 96,822,529,255.16
  5. Step 5: Solve for x
    x = 96,822,529,255.16/144,465.19
  6. Step 6: Final answer
    x = 670,213.57

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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.