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Finding the Third Proportional to 141,717 and 311,078.63

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Solution

The third proportional to 141,717 and 311,078.63 is: 682,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,717 : 311,078.63 = 311,078.63 : x
  2. Step 2: Convert to fraction form
    141,717/311,078.63 = 311,078.63/x
  3. Step 3: Cross multiply
    141,717x = 311,078.63 × 311,078.63
  4. Step 4: Simplify right side
    141,717x = 96,769,910,931.89
  5. Step 5: Solve for x
    x = 96,769,910,931.89/141,717
  6. Step 6: Final answer
    x = 682,839.12

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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.