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Finding the Third Proportional to 120,751 and 265,289

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Solution

The third proportional to 120,751 and 265,289 is: 582,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,751 : 265,289 = 265,289 : x
  2. Step 2: Convert to fraction form
    120,751/265,289 = 265,289/x
  3. Step 3: Cross multiply
    120,751x = 265,289 × 265,289
  4. Step 4: Simplify right side
    120,751x = 70,378,253,521
  5. Step 5: Solve for x
    x = 70,378,253,521/120,751
  6. Step 6: Final answer
    x = 582,837.85

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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.