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Finding the Third Proportional to 187,833 and 384,305

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Solution

The third proportional to 187,833 and 384,305 is: 786,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,833 : 384,305 = 384,305 : x
  2. Step 2: Convert to fraction form
    187,833/384,305 = 384,305/x
  3. Step 3: Cross multiply
    187,833x = 384,305 × 384,305
  4. Step 4: Simplify right side
    187,833x = 147,690,333,025
  5. Step 5: Solve for x
    x = 147,690,333,025/187,833
  6. Step 6: Final answer
    x = 786,285.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.