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Finding the Third Proportional to 92,838 and 206,736

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Solution

The third proportional to 92,838 and 206,736 is: 460,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,838 : 206,736 = 206,736 : x
  2. Step 2: Convert to fraction form
    92,838/206,736 = 206,736/x
  3. Step 3: Cross multiply
    92,838x = 206,736 × 206,736
  4. Step 4: Simplify right side
    92,838x = 42,739,773,696
  5. Step 5: Solve for x
    x = 42,739,773,696/92,838
  6. Step 6: Final answer
    x = 460,369.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.