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Finding the Third Proportional to 171,018 and 263,088

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Solution

The third proportional to 171,018 and 263,088 is: 404,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,018 : 263,088 = 263,088 : x
  2. Step 2: Convert to fraction form
    171,018/263,088 = 263,088/x
  3. Step 3: Cross multiply
    171,018x = 263,088 × 263,088
  4. Step 4: Simplify right side
    171,018x = 69,215,295,744
  5. Step 5: Solve for x
    x = 69,215,295,744/171,018
  6. Step 6: Final answer
    x = 404,725.21

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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.