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Finding the Third Proportional to 171,029 and 263,105

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Solution

The third proportional to 171,029 and 263,105 is: 404,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,029 : 263,105 = 263,105 : x
  2. Step 2: Convert to fraction form
    171,029/263,105 = 263,105/x
  3. Step 3: Cross multiply
    171,029x = 263,105 × 263,105
  4. Step 4: Simplify right side
    171,029x = 69,224,241,025
  5. Step 5: Solve for x
    x = 69,224,241,025/171,029
  6. Step 6: Final answer
    x = 404,751.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.