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Finding the Third Proportional to 110,553 and 259,881

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Solution

The third proportional to 110,553 and 259,881 is: 610,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,553 : 259,881 = 259,881 : x
  2. Step 2: Convert to fraction form
    110,553/259,881 = 259,881/x
  3. Step 3: Cross multiply
    110,553x = 259,881 × 259,881
  4. Step 4: Simplify right side
    110,553x = 67,538,134,161
  5. Step 5: Solve for x
    x = 67,538,134,161/110,553
  6. Step 6: Final answer
    x = 610,911.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.