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Finding the Third Proportional to 110,551.50 and 259,854.75

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Solution

The third proportional to 110,551.50 and 259,854.75 is: 610,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,551.50 : 259,854.75 = 259,854.75 : x
  2. Step 2: Convert to fraction form
    110,551.50/259,854.75 = 259,854.75/x
  3. Step 3: Cross multiply
    110,551.50x = 259,854.75 × 259,854.75
  4. Step 4: Simplify right side
    110,551.50x = 67,524,491,097.56
  5. Step 5: Solve for x
    x = 67,524,491,097.56/110,551.50
  6. Step 6: Final answer
    x = 610,796.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.