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Finding the Third Proportional to 139,051.69 and 300,241.69

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Solution

The third proportional to 139,051.69 and 300,241.69 is: 648,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,051.69 : 300,241.69 = 300,241.69 : x
  2. Step 2: Convert to fraction form
    139,051.69/300,241.69 = 300,241.69/x
  3. Step 3: Cross multiply
    139,051.69x = 300,241.69 × 300,241.69
  4. Step 4: Simplify right side
    139,051.69x = 90,145,070,912.85
  5. Step 5: Solve for x
    x = 90,145,070,912.85/139,051.69
  6. Step 6: Final answer
    x = 648,284.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.