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Finding the Third Proportional to 122,947.88 and 267,219

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Solution

The third proportional to 122,947.88 and 267,219 is: 580,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,947.88 : 267,219 = 267,219 : x
  2. Step 2: Convert to fraction form
    122,947.88/267,219 = 267,219/x
  3. Step 3: Cross multiply
    122,947.88x = 267,219 × 267,219
  4. Step 4: Simplify right side
    122,947.88x = 71,405,993,961
  5. Step 5: Solve for x
    x = 71,405,993,961/122,947.88
  6. Step 6: Final answer
    x = 580,782.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.