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Finding the Third Proportional to 171,031 and 263,108

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Solution

The third proportional to 171,031 and 263,108 is: 404,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,031 : 263,108 = 263,108 : x
  2. Step 2: Convert to fraction form
    171,031/263,108 = 263,108/x
  3. Step 3: Cross multiply
    171,031x = 263,108 × 263,108
  4. Step 4: Simplify right side
    171,031x = 69,225,819,664
  5. Step 5: Solve for x
    x = 69,225,819,664/171,031
  6. Step 6: Final answer
    x = 404,755.98

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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.