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Finding the Third Proportional to 264,186 and 409,230

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Solution

The third proportional to 264,186 and 409,230 is: 633,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,186 : 409,230 = 409,230 : x
  2. Step 2: Convert to fraction form
    264,186/409,230 = 409,230/x
  3. Step 3: Cross multiply
    264,186x = 409,230 × 409,230
  4. Step 4: Simplify right side
    264,186x = 167,469,192,900
  5. Step 5: Solve for x
    x = 167,469,192,900/264,186
  6. Step 6: Final answer
    x = 633,906.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.