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Finding the Third Proportional to 170,843 and 260,477

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Solution

The third proportional to 170,843 and 260,477 is: 397,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,843 : 260,477 = 260,477 : x
  2. Step 2: Convert to fraction form
    170,843/260,477 = 260,477/x
  3. Step 3: Cross multiply
    170,843x = 260,477 × 260,477
  4. Step 4: Simplify right side
    170,843x = 67,848,267,529
  5. Step 5: Solve for x
    x = 67,848,267,529/170,843
  6. Step 6: Final answer
    x = 397,138.12

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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.