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Finding the Third Proportional to 141,715.25 and 311,075

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Solution

The third proportional to 141,715.25 and 311,075 is: 682,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,715.25 : 311,075 = 311,075 : x
  2. Step 2: Convert to fraction form
    141,715.25/311,075 = 311,075/x
  3. Step 3: Cross multiply
    141,715.25x = 311,075 × 311,075
  4. Step 4: Simplify right side
    141,715.25x = 96,767,655,625
  5. Step 5: Solve for x
    x = 96,767,655,625/141,715.25
  6. Step 6: Final answer
    x = 682,831.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.