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Finding the Third Proportional to 172,623 and 369,232

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Solution

The third proportional to 172,623 and 369,232 is: 789,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,623 : 369,232 = 369,232 : x
  2. Step 2: Convert to fraction form
    172,623/369,232 = 369,232/x
  3. Step 3: Cross multiply
    172,623x = 369,232 × 369,232
  4. Step 4: Simplify right side
    172,623x = 136,332,269,824
  5. Step 5: Solve for x
    x = 136,332,269,824/172,623
  6. Step 6: Final answer
    x = 789,768.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.