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Finding the Third Proportional to 169,376 and 263,736

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Solution

The third proportional to 169,376 and 263,736 is: 410,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,376 : 263,736 = 263,736 : x
  2. Step 2: Convert to fraction form
    169,376/263,736 = 263,736/x
  3. Step 3: Cross multiply
    169,376x = 263,736 × 263,736
  4. Step 4: Simplify right side
    169,376x = 69,556,677,696
  5. Step 5: Solve for x
    x = 69,556,677,696/169,376
  6. Step 6: Final answer
    x = 410,664.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.