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Finding the Third Proportional to 120,652 and 265,100

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Solution

The third proportional to 120,652 and 265,100 is: 582,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,652 : 265,100 = 265,100 : x
  2. Step 2: Convert to fraction form
    120,652/265,100 = 265,100/x
  3. Step 3: Cross multiply
    120,652x = 265,100 × 265,100
  4. Step 4: Simplify right side
    120,652x = 70,278,010,000
  5. Step 5: Solve for x
    x = 70,278,010,000/120,652
  6. Step 6: Final answer
    x = 582,485.25

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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.