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Finding the Third Proportional to 169,928 and 374,152

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Solution

The third proportional to 169,928 and 374,152 is: 823,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,928 : 374,152 = 374,152 : x
  2. Step 2: Convert to fraction form
    169,928/374,152 = 374,152/x
  3. Step 3: Cross multiply
    169,928x = 374,152 × 374,152
  4. Step 4: Simplify right side
    169,928x = 139,989,719,104
  5. Step 5: Solve for x
    x = 139,989,719,104/169,928
  6. Step 6: Final answer
    x = 823,817.85

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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.