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Finding the Third Proportional to 192,462 and 277,235

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Solution

The third proportional to 192,462 and 277,235 is: 399,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,462 : 277,235 = 277,235 : x
  2. Step 2: Convert to fraction form
    192,462/277,235 = 277,235/x
  3. Step 3: Cross multiply
    192,462x = 277,235 × 277,235
  4. Step 4: Simplify right side
    192,462x = 76,859,245,225
  5. Step 5: Solve for x
    x = 76,859,245,225/192,462
  6. Step 6: Final answer
    x = 399,347.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.