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Finding the Third Proportional to 169,936 and 374,168

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Solution

The third proportional to 169,936 and 374,168 is: 823,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,936 : 374,168 = 374,168 : x
  2. Step 2: Convert to fraction form
    169,936/374,168 = 374,168/x
  3. Step 3: Cross multiply
    169,936x = 374,168 × 374,168
  4. Step 4: Simplify right side
    169,936x = 140,001,692,224
  5. Step 5: Solve for x
    x = 140,001,692,224/169,936
  6. Step 6: Final answer
    x = 823,849.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.