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Finding the Third Proportional to 120,738.38 and 262,252.13

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Solution

The third proportional to 120,738.38 and 262,252.13 is: 569,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,738.38 : 262,252.13 = 262,252.13 : x
  2. Step 2: Convert to fraction form
    120,738.38/262,252.13 = 262,252.13/x
  3. Step 3: Cross multiply
    120,738.38x = 262,252.13 × 262,252.13
  4. Step 4: Simplify right side
    120,738.38x = 68,776,177,067.02
  5. Step 5: Solve for x
    x = 68,776,177,067.02/120,738.38
  6. Step 6: Final answer
    x = 569,629.81

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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.