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Finding the Third Proportional to 120,862.13 and 263,229.75

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Solution

The third proportional to 120,862.13 and 263,229.75 is: 573,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,862.13 : 263,229.75 = 263,229.75 : x
  2. Step 2: Convert to fraction form
    120,862.13/263,229.75 = 263,229.75/x
  3. Step 3: Cross multiply
    120,862.13x = 263,229.75 × 263,229.75
  4. Step 4: Simplify right side
    120,862.13x = 69,289,901,285.06
  5. Step 5: Solve for x
    x = 69,289,901,285.06/120,862.13
  6. Step 6: Final answer
    x = 573,297.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.