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Finding the Third Proportional to 120,659 and 265,011

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Solution

The third proportional to 120,659 and 265,011 is: 582,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,659 : 265,011 = 265,011 : x
  2. Step 2: Convert to fraction form
    120,659/265,011 = 265,011/x
  3. Step 3: Cross multiply
    120,659x = 265,011 × 265,011
  4. Step 4: Simplify right side
    120,659x = 70,230,830,121
  5. Step 5: Solve for x
    x = 70,230,830,121/120,659
  6. Step 6: Final answer
    x = 582,060.44

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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.