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Finding the Third Proportional to 120,738.94 and 262,218.94

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Solution

The third proportional to 120,738.94 and 262,218.94 is: 569,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,738.94 : 262,218.94 = 262,218.94 : x
  2. Step 2: Convert to fraction form
    120,738.94/262,218.94 = 262,218.94/x
  3. Step 3: Cross multiply
    120,738.94x = 262,218.94 × 262,218.94
  4. Step 4: Simplify right side
    120,738.94x = 68,758,771,183.63
  5. Step 5: Solve for x
    x = 68,758,771,183.63/120,738.94
  6. Step 6: Final answer
    x = 569,482.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.