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Finding the Third Proportional to 192,144.38 and 412,719.75

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Solution

The third proportional to 192,144.38 and 412,719.75 is: 886,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,144.38 : 412,719.75 = 412,719.75 : x
  2. Step 2: Convert to fraction form
    192,144.38/412,719.75 = 412,719.75/x
  3. Step 3: Cross multiply
    192,144.38x = 412,719.75 × 412,719.75
  4. Step 4: Simplify right side
    192,144.38x = 170,337,592,040.06
  5. Step 5: Solve for x
    x = 170,337,592,040.06/192,144.38
  6. Step 6: Final answer
    x = 886,508.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.