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Finding the Third Proportional to 154,021.50 and 192,800.25

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Solution

The third proportional to 154,021.50 and 192,800.25 is: 241,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,021.50 : 192,800.25 = 192,800.25 : x
  2. Step 2: Convert to fraction form
    154,021.50/192,800.25 = 192,800.25/x
  3. Step 3: Cross multiply
    154,021.50x = 192,800.25 × 192,800.25
  4. Step 4: Simplify right side
    154,021.50x = 37,171,936,400.06
  5. Step 5: Solve for x
    x = 37,171,936,400.06/154,021.50
  6. Step 6: Final answer
    x = 241,342.52

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.