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Finding the Third Proportional to 192,257.44 and 414,097.88

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Solution

The third proportional to 192,257.44 and 414,097.88 is: 891,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,257.44 : 414,097.88 = 414,097.88 : x
  2. Step 2: Convert to fraction form
    192,257.44/414,097.88 = 414,097.88/x
  3. Step 3: Cross multiply
    192,257.44x = 414,097.88 × 414,097.88
  4. Step 4: Simplify right side
    192,257.44x = 171,477,050,079.52
  5. Step 5: Solve for x
    x = 171,477,050,079.52/192,257.44
  6. Step 6: Final answer
    x = 891,913.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.