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Finding the Third Proportional to 169,573 and 262,450

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Solution

The third proportional to 169,573 and 262,450 is: 406,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,573 : 262,450 = 262,450 : x
  2. Step 2: Convert to fraction form
    169,573/262,450 = 262,450/x
  3. Step 3: Cross multiply
    169,573x = 262,450 × 262,450
  4. Step 4: Simplify right side
    169,573x = 68,880,002,500
  5. Step 5: Solve for x
    x = 68,880,002,500/169,573
  6. Step 6: Final answer
    x = 406,196.76

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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.