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Finding the Third Proportional to 122,806 and 263,549

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Solution

The third proportional to 122,806 and 263,549 is: 565,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,806 : 263,549 = 263,549 : x
  2. Step 2: Convert to fraction form
    122,806/263,549 = 263,549/x
  3. Step 3: Cross multiply
    122,806x = 263,549 × 263,549
  4. Step 4: Simplify right side
    122,806x = 69,458,075,401
  5. Step 5: Solve for x
    x = 69,458,075,401/122,806
  6. Step 6: Final answer
    x = 565,591.87

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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.