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Finding the Third Proportional to 119,798 and 260,846

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Solution

The third proportional to 119,798 and 260,846 is: 567,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,798 : 260,846 = 260,846 : x
  2. Step 2: Convert to fraction form
    119,798/260,846 = 260,846/x
  3. Step 3: Cross multiply
    119,798x = 260,846 × 260,846
  4. Step 4: Simplify right side
    119,798x = 68,040,635,716
  5. Step 5: Solve for x
    x = 68,040,635,716/119,798
  6. Step 6: Final answer
    x = 567,961.37

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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.