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Finding the Third Proportional to 139,137.75 and 297,951.75

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Solution

The third proportional to 139,137.75 and 297,951.75 is: 638,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,137.75 : 297,951.75 = 297,951.75 : x
  2. Step 2: Convert to fraction form
    139,137.75/297,951.75 = 297,951.75/x
  3. Step 3: Cross multiply
    139,137.75x = 297,951.75 × 297,951.75
  4. Step 4: Simplify right side
    139,137.75x = 88,775,245,328.06
  5. Step 5: Solve for x
    x = 88,775,245,328.06/139,137.75
  6. Step 6: Final answer
    x = 638,038.53

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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.