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Finding the Third Proportional to 122,204 and 260,536

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Solution

The third proportional to 122,204 and 260,536 is: 555,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,204 : 260,536 = 260,536 : x
  2. Step 2: Convert to fraction form
    122,204/260,536 = 260,536/x
  3. Step 3: Cross multiply
    122,204x = 260,536 × 260,536
  4. Step 4: Simplify right side
    122,204x = 67,879,007,296
  5. Step 5: Solve for x
    x = 67,879,007,296/122,204
  6. Step 6: Final answer
    x = 555,456.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.