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Finding the Third Proportional to 168,534 and 263,169

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Solution

The third proportional to 168,534 and 263,169 is: 410,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,534 : 263,169 = 263,169 : x
  2. Step 2: Convert to fraction form
    168,534/263,169 = 263,169/x
  3. Step 3: Cross multiply
    168,534x = 263,169 × 263,169
  4. Step 4: Simplify right side
    168,534x = 69,257,922,561
  5. Step 5: Solve for x
    x = 69,257,922,561/168,534
  6. Step 6: Final answer
    x = 410,943.33

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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.