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Finding the Third Proportional to 206,280 and 446,238

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Solution

The third proportional to 206,280 and 446,238 is: 965,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,280 : 446,238 = 446,238 : x
  2. Step 2: Convert to fraction form
    206,280/446,238 = 446,238/x
  3. Step 3: Cross multiply
    206,280x = 446,238 × 446,238
  4. Step 4: Simplify right side
    206,280x = 199,128,352,644
  5. Step 5: Solve for x
    x = 199,128,352,644/206,280
  6. Step 6: Final answer
    x = 965,330.39

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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.