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Finding the Third Proportional to 169,024 and 367,568

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Solution

The third proportional to 169,024 and 367,568 is: 799,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,024 : 367,568 = 367,568 : x
  2. Step 2: Convert to fraction form
    169,024/367,568 = 367,568/x
  3. Step 3: Cross multiply
    169,024x = 367,568 × 367,568
  4. Step 4: Simplify right side
    169,024x = 135,106,234,624
  5. Step 5: Solve for x
    x = 135,106,234,624/169,024
  6. Step 6: Final answer
    x = 799,331.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.