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Finding the Third Proportional to 159,797 and 349,661

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Solution

The third proportional to 159,797 and 349,661 is: 765,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,797 : 349,661 = 349,661 : x
  2. Step 2: Convert to fraction form
    159,797/349,661 = 349,661/x
  3. Step 3: Cross multiply
    159,797x = 349,661 × 349,661
  4. Step 4: Simplify right side
    159,797x = 122,262,814,921
  5. Step 5: Solve for x
    x = 122,262,814,921/159,797
  6. Step 6: Final answer
    x = 765,113.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.