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Finding the Third Proportional to 169,057 and 261,633

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Solution

The third proportional to 169,057 and 261,633 is: 404,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,057 : 261,633 = 261,633 : x
  2. Step 2: Convert to fraction form
    169,057/261,633 = 261,633/x
  3. Step 3: Cross multiply
    169,057x = 261,633 × 261,633
  4. Step 4: Simplify right side
    169,057x = 68,451,826,689
  5. Step 5: Solve for x
    x = 68,451,826,689/169,057
  6. Step 6: Final answer
    x = 404,903.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.