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Finding the Third Proportional to 139,149 and 297,975

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Solution

The third proportional to 139,149 and 297,975 is: 638,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,149 : 297,975 = 297,975 : x
  2. Step 2: Convert to fraction form
    139,149/297,975 = 297,975/x
  3. Step 3: Cross multiply
    139,149x = 297,975 × 297,975
  4. Step 4: Simplify right side
    139,149x = 88,789,100,625
  5. Step 5: Solve for x
    x = 88,789,100,625/139,149
  6. Step 6: Final answer
    x = 638,086.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.