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Finding the Third Proportional to 139,866.75 and 305,349.75

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Solution

The third proportional to 139,866.75 and 305,349.75 is: 666,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,866.75 : 305,349.75 = 305,349.75 : x
  2. Step 2: Convert to fraction form
    139,866.75/305,349.75 = 305,349.75/x
  3. Step 3: Cross multiply
    139,866.75x = 305,349.75 × 305,349.75
  4. Step 4: Simplify right side
    139,866.75x = 93,238,469,825.06
  5. Step 5: Solve for x
    x = 93,238,469,825.06/139,866.75
  6. Step 6: Final answer
    x = 666,623.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.