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Finding the Third Proportional to 192,850.88 and 289,089

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Solution

The third proportional to 192,850.88 and 289,089 is: 433,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,850.88 : 289,089 = 289,089 : x
  2. Step 2: Convert to fraction form
    192,850.88/289,089 = 289,089/x
  3. Step 3: Cross multiply
    192,850.88x = 289,089 × 289,089
  4. Step 4: Simplify right side
    192,850.88x = 83,572,449,921
  5. Step 5: Solve for x
    x = 83,572,449,921/192,850.88
  6. Step 6: Final answer
    x = 433,352.71

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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.