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Finding the Third Proportional to 160,674 and 349,956

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Solution

The third proportional to 160,674 and 349,956 is: 762,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,674 : 349,956 = 349,956 : x
  2. Step 2: Convert to fraction form
    160,674/349,956 = 349,956/x
  3. Step 3: Cross multiply
    160,674x = 349,956 × 349,956
  4. Step 4: Simplify right side
    160,674x = 122,469,201,936
  5. Step 5: Solve for x
    x = 122,469,201,936/160,674
  6. Step 6: Final answer
    x = 762,221.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.