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Finding the Third Proportional to 119,243.75 and 259,194.75

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Solution

The third proportional to 119,243.75 and 259,194.75 is: 563,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,243.75 : 259,194.75 = 259,194.75 : x
  2. Step 2: Convert to fraction form
    119,243.75/259,194.75 = 259,194.75/x
  3. Step 3: Cross multiply
    119,243.75x = 259,194.75 × 259,194.75
  4. Step 4: Simplify right side
    119,243.75x = 67,181,918,427.56
  5. Step 5: Solve for x
    x = 67,181,918,427.56/119,243.75
  6. Step 6: Final answer
    x = 563,399.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.