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Finding the Third Proportional to 116,653.50 and 273,163.50

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Solution

The third proportional to 116,653.50 and 273,163.50 is: 639,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,653.50 : 273,163.50 = 273,163.50 : x
  2. Step 2: Convert to fraction form
    116,653.50/273,163.50 = 273,163.50/x
  3. Step 3: Cross multiply
    116,653.50x = 273,163.50 × 273,163.50
  4. Step 4: Simplify right side
    116,653.50x = 74,618,297,732.25
  5. Step 5: Solve for x
    x = 74,618,297,732.25/116,653.50
  6. Step 6: Final answer
    x = 639,657.60

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.