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Finding the Third Proportional to 120,757 and 265,301

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Solution

The third proportional to 120,757 and 265,301 is: 582,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757 : 265,301 = 265,301 : x
  2. Step 2: Convert to fraction form
    120,757/265,301 = 265,301/x
  3. Step 3: Cross multiply
    120,757x = 265,301 × 265,301
  4. Step 4: Simplify right side
    120,757x = 70,384,620,601
  5. Step 5: Solve for x
    x = 70,384,620,601/120,757
  6. Step 6: Final answer
    x = 582,861.62

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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.