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Finding the Third Proportional to 115,434 and 240,104

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Solution

The third proportional to 115,434 and 240,104 is: 499,418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,434 : 240,104 = 240,104 : x
  2. Step 2: Convert to fraction form
    115,434/240,104 = 240,104/x
  3. Step 3: Cross multiply
    115,434x = 240,104 × 240,104
  4. Step 4: Simplify right side
    115,434x = 57,649,930,816
  5. Step 5: Solve for x
    x = 57,649,930,816/115,434
  6. Step 6: Final answer
    x = 499,418.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.