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Finding the Third Proportional to 122,503 and 263,774

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Solution

The third proportional to 122,503 and 263,774 is: 567,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,503 : 263,774 = 263,774 : x
  2. Step 2: Convert to fraction form
    122,503/263,774 = 263,774/x
  3. Step 3: Cross multiply
    122,503x = 263,774 × 263,774
  4. Step 4: Simplify right side
    122,503x = 69,576,723,076
  5. Step 5: Solve for x
    x = 69,576,723,076/122,503
  6. Step 6: Final answer
    x = 567,959.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.