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Finding the Third Proportional to 204,138 and 441,135

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Solution

The third proportional to 204,138 and 441,135 is: 953,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,138 : 441,135 = 441,135 : x
  2. Step 2: Convert to fraction form
    204,138/441,135 = 441,135/x
  3. Step 3: Cross multiply
    204,138x = 441,135 × 441,135
  4. Step 4: Simplify right side
    204,138x = 194,600,088,225
  5. Step 5: Solve for x
    x = 194,600,088,225/204,138
  6. Step 6: Final answer
    x = 953,277.14

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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.