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Finding the Third Proportional to 115,660 and 267,733.25

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Solution

The third proportional to 115,660 and 267,733.25 is: 619,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,660 : 267,733.25 = 267,733.25 : x
  2. Step 2: Convert to fraction form
    115,660/267,733.25 = 267,733.25/x
  3. Step 3: Cross multiply
    115,660x = 267,733.25 × 267,733.25
  4. Step 4: Simplify right side
    115,660x = 71,681,093,155.56
  5. Step 5: Solve for x
    x = 71,681,093,155.56/115,660
  6. Step 6: Final answer
    x = 619,756.99

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.