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Finding the Third Proportional to 122,994 and 267,633

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Solution

The third proportional to 122,994 and 267,633 is: 582,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,994 : 267,633 = 267,633 : x
  2. Step 2: Convert to fraction form
    122,994/267,633 = 267,633/x
  3. Step 3: Cross multiply
    122,994x = 267,633 × 267,633
  4. Step 4: Simplify right side
    122,994x = 71,627,422,689
  5. Step 5: Solve for x
    x = 71,627,422,689/122,994
  6. Step 6: Final answer
    x = 582,365.18

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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.