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Finding the Third Proportional to 172,044 and 356,183

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Solution

The third proportional to 172,044 and 356,183 is: 737,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,044 : 356,183 = 356,183 : x
  2. Step 2: Convert to fraction form
    172,044/356,183 = 356,183/x
  3. Step 3: Cross multiply
    172,044x = 356,183 × 356,183
  4. Step 4: Simplify right side
    172,044x = 126,866,329,489
  5. Step 5: Solve for x
    x = 126,866,329,489/172,044
  6. Step 6: Final answer
    x = 737,406.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.