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Finding the Third Proportional to 120,791.25 and 265,740.75

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Solution

The third proportional to 120,791.25 and 265,740.75 is: 584,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,791.25 : 265,740.75 = 265,740.75 : x
  2. Step 2: Convert to fraction form
    120,791.25/265,740.75 = 265,740.75/x
  3. Step 3: Cross multiply
    120,791.25x = 265,740.75 × 265,740.75
  4. Step 4: Simplify right side
    120,791.25x = 70,618,146,210.56
  5. Step 5: Solve for x
    x = 70,618,146,210.56/120,791.25
  6. Step 6: Final answer
    x = 584,629.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.