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Finding the Third Proportional to 86,302 and 192,692

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Solution

The third proportional to 86,302 and 192,692 is: 430,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,302 : 192,692 = 192,692 : x
  2. Step 2: Convert to fraction form
    86,302/192,692 = 192,692/x
  3. Step 3: Cross multiply
    86,302x = 192,692 × 192,692
  4. Step 4: Simplify right side
    86,302x = 37,130,206,864
  5. Step 5: Solve for x
    x = 37,130,206,864/86,302
  6. Step 6: Final answer
    x = 430,235.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.