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Finding the Third Proportional to 192,270 and 414,123

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Solution

The third proportional to 192,270 and 414,123 is: 891,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,270 : 414,123 = 414,123 : x
  2. Step 2: Convert to fraction form
    192,270/414,123 = 414,123/x
  3. Step 3: Cross multiply
    192,270x = 414,123 × 414,123
  4. Step 4: Simplify right side
    192,270x = 171,497,859,129
  5. Step 5: Solve for x
    x = 171,497,859,129/192,270
  6. Step 6: Final answer
    x = 891,963.69

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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.