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Finding the Third Proportional to 190,775.25 and 414,354.75

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Solution

The third proportional to 190,775.25 and 414,354.75 is: 899,958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,775.25 : 414,354.75 = 414,354.75 : x
  2. Step 2: Convert to fraction form
    190,775.25/414,354.75 = 414,354.75/x
  3. Step 3: Cross multiply
    190,775.25x = 414,354.75 × 414,354.75
  4. Step 4: Simplify right side
    190,775.25x = 171,689,858,847.56
  5. Step 5: Solve for x
    x = 171,689,858,847.56/190,775.25
  6. Step 6: Final answer
    x = 899,958.77

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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.