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Finding the Third Proportional to 192,147.75 and 288,837

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Solution

The third proportional to 192,147.75 and 288,837 is: 434,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,147.75 : 288,837 = 288,837 : x
  2. Step 2: Convert to fraction form
    192,147.75/288,837 = 288,837/x
  3. Step 3: Cross multiply
    192,147.75x = 288,837 × 288,837
  4. Step 4: Simplify right side
    192,147.75x = 83,426,812,569
  5. Step 5: Solve for x
    x = 83,426,812,569/192,147.75
  6. Step 6: Final answer
    x = 434,180.53

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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.