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Finding the Third Proportional to 110,779.50 and 267,081

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Solution

The third proportional to 110,779.50 and 267,081 is: 643,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,779.50 : 267,081 = 267,081 : x
  2. Step 2: Convert to fraction form
    110,779.50/267,081 = 267,081/x
  3. Step 3: Cross multiply
    110,779.50x = 267,081 × 267,081
  4. Step 4: Simplify right side
    110,779.50x = 71,332,260,561
  5. Step 5: Solve for x
    x = 71,332,260,561/110,779.50
  6. Step 6: Final answer
    x = 643,912.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.