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Finding the Third Proportional to 192,324.38 and 298,571.06

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Solution

The third proportional to 192,324.38 and 298,571.06 is: 463,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,324.38 : 298,571.06 = 298,571.06 : x
  2. Step 2: Convert to fraction form
    192,324.38/298,571.06 = 298,571.06/x
  3. Step 3: Cross multiply
    192,324.38x = 298,571.06 × 298,571.06
  4. Step 4: Simplify right side
    192,324.38x = 89,144,679,362.38
  5. Step 5: Solve for x
    x = 89,144,679,362.38/192,324.38
  6. Step 6: Final answer
    x = 463,512.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.