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Finding the Third Proportional to 193,833 and 411,149

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Solution

The third proportional to 193,833 and 411,149 is: 872,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,833 : 411,149 = 411,149 : x
  2. Step 2: Convert to fraction form
    193,833/411,149 = 411,149/x
  3. Step 3: Cross multiply
    193,833x = 411,149 × 411,149
  4. Step 4: Simplify right side
    193,833x = 169,043,500,201
  5. Step 5: Solve for x
    x = 169,043,500,201/193,833
  6. Step 6: Final answer
    x = 872,108.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.