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Finding the Third Proportional to 227,152 and 350,204

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Solution

The third proportional to 227,152 and 350,204 is: 539,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,152 : 350,204 = 350,204 : x
  2. Step 2: Convert to fraction form
    227,152/350,204 = 350,204/x
  3. Step 3: Cross multiply
    227,152x = 350,204 × 350,204
  4. Step 4: Simplify right side
    227,152x = 122,642,841,616
  5. Step 5: Solve for x
    x = 122,642,841,616/227,152
  6. Step 6: Final answer
    x = 539,915.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.