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Finding the Third Proportional to 110,732 and 259,958

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Solution

The third proportional to 110,732 and 259,958 is: 610,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,732 : 259,958 = 259,958 : x
  2. Step 2: Convert to fraction form
    110,732/259,958 = 259,958/x
  3. Step 3: Cross multiply
    110,732x = 259,958 × 259,958
  4. Step 4: Simplify right side
    110,732x = 67,578,161,764
  5. Step 5: Solve for x
    x = 67,578,161,764/110,732
  6. Step 6: Final answer
    x = 610,285.75

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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.