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Finding the Third Proportional to 120,237.75 and 264,471.75

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Solution

The third proportional to 120,237.75 and 264,471.75 is: 581,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,237.75 : 264,471.75 = 264,471.75 : x
  2. Step 2: Convert to fraction form
    120,237.75/264,471.75 = 264,471.75/x
  3. Step 3: Cross multiply
    120,237.75x = 264,471.75 × 264,471.75
  4. Step 4: Simplify right side
    120,237.75x = 69,945,306,548.06
  5. Step 5: Solve for x
    x = 69,945,306,548.06/120,237.75
  6. Step 6: Final answer
    x = 581,725.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.