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Finding the Third Proportional to 204,082 and 421,263

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Solution

The third proportional to 204,082 and 421,263 is: 869,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,082 : 421,263 = 421,263 : x
  2. Step 2: Convert to fraction form
    204,082/421,263 = 421,263/x
  3. Step 3: Cross multiply
    204,082x = 421,263 × 421,263
  4. Step 4: Simplify right side
    204,082x = 177,462,515,169
  5. Step 5: Solve for x
    x = 177,462,515,169/204,082
  6. Step 6: Final answer
    x = 869,564.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.