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Finding the Third Proportional to 188,183 and 403,654

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Solution

The third proportional to 188,183 and 403,654 is: 865,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,183 : 403,654 = 403,654 : x
  2. Step 2: Convert to fraction form
    188,183/403,654 = 403,654/x
  3. Step 3: Cross multiply
    188,183x = 403,654 × 403,654
  4. Step 4: Simplify right side
    188,183x = 162,936,551,716
  5. Step 5: Solve for x
    x = 162,936,551,716/188,183
  6. Step 6: Final answer
    x = 865,840.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.