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Finding the Third Proportional to 119,846 and 260,824

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Solution

The third proportional to 119,846 and 260,824 is: 567,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,846 : 260,824 = 260,824 : x
  2. Step 2: Convert to fraction form
    119,846/260,824 = 260,824/x
  3. Step 3: Cross multiply
    119,846x = 260,824 × 260,824
  4. Step 4: Simplify right side
    119,846x = 68,029,158,976
  5. Step 5: Solve for x
    x = 68,029,158,976/119,846
  6. Step 6: Final answer
    x = 567,638.13

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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.