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Finding the Third Proportional to 172,026 and 260,635

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Solution

The third proportional to 172,026 and 260,635 is: 394,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,026 : 260,635 = 260,635 : x
  2. Step 2: Convert to fraction form
    172,026/260,635 = 260,635/x
  3. Step 3: Cross multiply
    172,026x = 260,635 × 260,635
  4. Step 4: Simplify right side
    172,026x = 67,930,603,225
  5. Step 5: Solve for x
    x = 67,930,603,225/172,026
  6. Step 6: Final answer
    x = 394,885.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.