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Finding the Third Proportional to 151,204 and 353,170

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Solution

The third proportional to 151,204 and 353,170 is: 824,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,204 : 353,170 = 353,170 : x
  2. Step 2: Convert to fraction form
    151,204/353,170 = 353,170/x
  3. Step 3: Cross multiply
    151,204x = 353,170 × 353,170
  4. Step 4: Simplify right side
    151,204x = 124,729,048,900
  5. Step 5: Solve for x
    x = 124,729,048,900/151,204
  6. Step 6: Final answer
    x = 824,905.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.