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Finding the Third Proportional to 172,092 and 377,232

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Solution

The third proportional to 172,092 and 377,232 is: 826,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,092 : 377,232 = 377,232 : x
  2. Step 2: Convert to fraction form
    172,092/377,232 = 377,232/x
  3. Step 3: Cross multiply
    172,092x = 377,232 × 377,232
  4. Step 4: Simplify right side
    172,092x = 142,303,981,824
  5. Step 5: Solve for x
    x = 142,303,981,824/172,092
  6. Step 6: Final answer
    x = 826,906.43

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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.