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Finding the Third Proportional to 140,314.50 and 303,075

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Solution

The third proportional to 140,314.50 and 303,075 is: 654,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,314.50 : 303,075 = 303,075 : x
  2. Step 2: Convert to fraction form
    140,314.50/303,075 = 303,075/x
  3. Step 3: Cross multiply
    140,314.50x = 303,075 × 303,075
  4. Step 4: Simplify right side
    140,314.50x = 91,854,455,625
  5. Step 5: Solve for x
    x = 91,854,455,625/140,314.50
  6. Step 6: Final answer
    x = 654,632.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.