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Finding the Third Proportional to 241,147.13 and 257,959.69

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Solution

The third proportional to 241,147.13 and 257,959.69 is: 275,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,147.13 : 257,959.69 = 257,959.69 : x
  2. Step 2: Convert to fraction form
    241,147.13/257,959.69 = 257,959.69/x
  3. Step 3: Cross multiply
    241,147.13x = 257,959.69 × 257,959.69
  4. Step 4: Simplify right side
    241,147.13x = 66,543,200,375.10
  5. Step 5: Solve for x
    x = 66,543,200,375.10/241,147.13
  6. Step 6: Final answer
    x = 275,944.41

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.