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Finding the Third Proportional to 183,204 and 401,832

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Solution

The third proportional to 183,204 and 401,832 is: 881,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,204 : 401,832 = 401,832 : x
  2. Step 2: Convert to fraction form
    183,204/401,832 = 401,832/x
  3. Step 3: Cross multiply
    183,204x = 401,832 × 401,832
  4. Step 4: Simplify right side
    183,204x = 161,468,956,224
  5. Step 5: Solve for x
    x = 161,468,956,224/183,204
  6. Step 6: Final answer
    x = 881,361.52

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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.