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Finding the Third Proportional to 169,542 and 262,286

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Solution

The third proportional to 169,542 and 262,286 is: 405,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,542 : 262,286 = 262,286 : x
  2. Step 2: Convert to fraction form
    169,542/262,286 = 262,286/x
  3. Step 3: Cross multiply
    169,542x = 262,286 × 262,286
  4. Step 4: Simplify right side
    169,542x = 68,793,945,796
  5. Step 5: Solve for x
    x = 68,793,945,796/169,542
  6. Step 6: Final answer
    x = 405,763.44

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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.