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Finding the Third Proportional to 188,910 and 285,183

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Solution

The third proportional to 188,910 and 285,183 is: 430,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,910 : 285,183 = 285,183 : x
  2. Step 2: Convert to fraction form
    188,910/285,183 = 285,183/x
  3. Step 3: Cross multiply
    188,910x = 285,183 × 285,183
  4. Step 4: Simplify right side
    188,910x = 81,329,343,489
  5. Step 5: Solve for x
    x = 81,329,343,489/188,910
  6. Step 6: Final answer
    x = 430,519.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.