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Finding the Third Proportional to 112,824 and 267,300

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Solution

The third proportional to 112,824 and 267,300 is: 633,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,824 : 267,300 = 267,300 : x
  2. Step 2: Convert to fraction form
    112,824/267,300 = 267,300/x
  3. Step 3: Cross multiply
    112,824x = 267,300 × 267,300
  4. Step 4: Simplify right side
    112,824x = 71,449,290,000
  5. Step 5: Solve for x
    x = 71,449,290,000/112,824
  6. Step 6: Final answer
    x = 633,280.95

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.