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Finding the Third Proportional to 192,309 and 421,521

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Solution

The third proportional to 192,309 and 421,521 is: 923,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,309 : 421,521 = 421,521 : x
  2. Step 2: Convert to fraction form
    192,309/421,521 = 421,521/x
  3. Step 3: Cross multiply
    192,309x = 421,521 × 421,521
  4. Step 4: Simplify right side
    192,309x = 177,679,953,441
  5. Step 5: Solve for x
    x = 177,679,953,441/192,309
  6. Step 6: Final answer
    x = 923,929.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.