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Finding the Third Proportional to 169,344 and 230,661

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Solution

The third proportional to 169,344 and 230,661 is: 314,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,344 : 230,661 = 230,661 : x
  2. Step 2: Convert to fraction form
    169,344/230,661 = 230,661/x
  3. Step 3: Cross multiply
    169,344x = 230,661 × 230,661
  4. Step 4: Simplify right side
    169,344x = 53,204,496,921
  5. Step 5: Solve for x
    x = 53,204,496,921/169,344
  6. Step 6: Final answer
    x = 314,179.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.