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Finding the Third Proportional to 196,524 and 461,967.75

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Solution

The third proportional to 196,524 and 461,967.75 is: 1,085,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,524 : 461,967.75 = 461,967.75 : x
  2. Step 2: Convert to fraction form
    196,524/461,967.75 = 461,967.75/x
  3. Step 3: Cross multiply
    196,524x = 461,967.75 × 461,967.75
  4. Step 4: Simplify right side
    196,524x = 213,414,202,040.06
  5. Step 5: Solve for x
    x = 213,414,202,040.06/196,524
  6. Step 6: Final answer
    x = 1,085,944.73

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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.