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Finding the Third Proportional to 119,013 and 259,758

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Solution

The third proportional to 119,013 and 259,758 is: 566,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,013 : 259,758 = 259,758 : x
  2. Step 2: Convert to fraction form
    119,013/259,758 = 259,758/x
  3. Step 3: Cross multiply
    119,013x = 259,758 × 259,758
  4. Step 4: Simplify right side
    119,013x = 67,474,218,564
  5. Step 5: Solve for x
    x = 67,474,218,564/119,013
  6. Step 6: Final answer
    x = 566,948.30

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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.