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Finding the Third Proportional to 204,132 and 441,123

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Solution

The third proportional to 204,132 and 441,123 is: 953,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,132 : 441,123 = 441,123 : x
  2. Step 2: Convert to fraction form
    204,132/441,123 = 441,123/x
  3. Step 3: Cross multiply
    204,132x = 441,123 × 441,123
  4. Step 4: Simplify right side
    204,132x = 194,589,501,129
  5. Step 5: Solve for x
    x = 194,589,501,129/204,132
  6. Step 6: Final answer
    x = 953,253.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.