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Finding the Third Proportional to 116,647 and 180,964

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Solution

The third proportional to 116,647 and 180,964 is: 280,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,647 : 180,964 = 180,964 : x
  2. Step 2: Convert to fraction form
    116,647/180,964 = 180,964/x
  3. Step 3: Cross multiply
    116,647x = 180,964 × 180,964
  4. Step 4: Simplify right side
    116,647x = 32,747,969,296
  5. Step 5: Solve for x
    x = 32,747,969,296/116,647
  6. Step 6: Final answer
    x = 280,744.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.