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Finding the Third Proportional to 140,195.81 and 300,074.63

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Solution

The third proportional to 140,195.81 and 300,074.63 is: 642,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,195.81 : 300,074.63 = 300,074.63 : x
  2. Step 2: Convert to fraction form
    140,195.81/300,074.63 = 300,074.63/x
  3. Step 3: Cross multiply
    140,195.81x = 300,074.63 × 300,074.63
  4. Step 4: Simplify right side
    140,195.81x = 90,044,780,568.89
  5. Step 5: Solve for x
    x = 90,044,780,568.89/140,195.81
  6. Step 6: Final answer
    x = 642,278.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.