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Finding the Third Proportional to 200,082 and 305,206

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Solution

The third proportional to 200,082 and 305,206 is: 465,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,082 : 305,206 = 305,206 : x
  2. Step 2: Convert to fraction form
    200,082/305,206 = 305,206/x
  3. Step 3: Cross multiply
    200,082x = 305,206 × 305,206
  4. Step 4: Simplify right side
    200,082x = 93,150,702,436
  5. Step 5: Solve for x
    x = 93,150,702,436/200,082
  6. Step 6: Final answer
    x = 465,562.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.