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Finding the Third Proportional to 119,015 and 259,762

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Solution

The third proportional to 119,015 and 259,762 is: 566,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,015 : 259,762 = 259,762 : x
  2. Step 2: Convert to fraction form
    119,015/259,762 = 259,762/x
  3. Step 3: Cross multiply
    119,015x = 259,762 × 259,762
  4. Step 4: Simplify right side
    119,015x = 67,476,296,644
  5. Step 5: Solve for x
    x = 67,476,296,644/119,015
  6. Step 6: Final answer
    x = 566,956.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.