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Finding the Third Proportional to 116,671.50 and 274,558.50

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Solution

The third proportional to 116,671.50 and 274,558.50 is: 646,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,671.50 : 274,558.50 = 274,558.50 : x
  2. Step 2: Convert to fraction form
    116,671.50/274,558.50 = 274,558.50/x
  3. Step 3: Cross multiply
    116,671.50x = 274,558.50 × 274,558.50
  4. Step 4: Simplify right side
    116,671.50x = 75,382,369,922.25
  5. Step 5: Solve for x
    x = 75,382,369,922.25/116,671.50
  6. Step 6: Final answer
    x = 646,107.83

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.