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Finding the Third Proportional to 120,939.75 and 264,893.63

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Solution

The third proportional to 120,939.75 and 264,893.63 is: 580,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,939.75 : 264,893.63 = 264,893.63 : x
  2. Step 2: Convert to fraction form
    120,939.75/264,893.63 = 264,893.63/x
  3. Step 3: Cross multiply
    120,939.75x = 264,893.63 × 264,893.63
  4. Step 4: Simplify right side
    120,939.75x = 70,168,632,565.64
  5. Step 5: Solve for x
    x = 70,168,632,565.64/120,939.75
  6. Step 6: Final answer
    x = 580,194.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.