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Finding the Third Proportional to 171,704 and 262,657

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Solution

The third proportional to 171,704 and 262,657 is: 401,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,704 : 262,657 = 262,657 : x
  2. Step 2: Convert to fraction form
    171,704/262,657 = 262,657/x
  3. Step 3: Cross multiply
    171,704x = 262,657 × 262,657
  4. Step 4: Simplify right side
    171,704x = 68,988,699,649
  5. Step 5: Solve for x
    x = 68,988,699,649/171,704
  6. Step 6: Final answer
    x = 401,788.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.