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Finding the Third Proportional to 169,568 and 262,442

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Solution

The third proportional to 169,568 and 262,442 is: 406,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,568 : 262,442 = 262,442 : x
  2. Step 2: Convert to fraction form
    169,568/262,442 = 262,442/x
  3. Step 3: Cross multiply
    169,568x = 262,442 × 262,442
  4. Step 4: Simplify right side
    169,568x = 68,875,803,364
  5. Step 5: Solve for x
    x = 68,875,803,364/169,568
  6. Step 6: Final answer
    x = 406,183.97

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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.