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Finding the Third Proportional to 118,146.09 and 259,255.69

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Solution

The third proportional to 118,146.09 and 259,255.69 is: 568,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,146.09 : 259,255.69 = 259,255.69 : x
  2. Step 2: Convert to fraction form
    118,146.09/259,255.69 = 259,255.69/x
  3. Step 3: Cross multiply
    118,146.09x = 259,255.69 × 259,255.69
  4. Step 4: Simplify right side
    118,146.09x = 67,213,511,501.10
  5. Step 5: Solve for x
    x = 67,213,511,501.10/118,146.09
  6. Step 6: Final answer
    x = 568,901.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.