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Finding the Third Proportional to 192,150 and 288,843.75

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Solution

The third proportional to 192,150 and 288,843.75 is: 434,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,150 : 288,843.75 = 288,843.75 : x
  2. Step 2: Convert to fraction form
    192,150/288,843.75 = 288,843.75/x
  3. Step 3: Cross multiply
    192,150x = 288,843.75 × 288,843.75
  4. Step 4: Simplify right side
    192,150x = 83,430,711,914.06
  5. Step 5: Solve for x
    x = 83,430,711,914.06/192,150
  6. Step 6: Final answer
    x = 434,195.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.