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Finding the Third Proportional to 192,783 and 288,040.50

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Solution

The third proportional to 192,783 and 288,040.50 is: 430,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,783 : 288,040.50 = 288,040.50 : x
  2. Step 2: Convert to fraction form
    192,783/288,040.50 = 288,040.50/x
  3. Step 3: Cross multiply
    192,783x = 288,040.50 × 288,040.50
  4. Step 4: Simplify right side
    192,783x = 82,967,329,640.25
  5. Step 5: Solve for x
    x = 82,967,329,640.25/192,783
  6. Step 6: Final answer
    x = 430,366.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.