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Finding the Third Proportional to 181,174 and 393,562

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Solution

The third proportional to 181,174 and 393,562 is: 854,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,174 : 393,562 = 393,562 : x
  2. Step 2: Convert to fraction form
    181,174/393,562 = 393,562/x
  3. Step 3: Cross multiply
    181,174x = 393,562 × 393,562
  4. Step 4: Simplify right side
    181,174x = 154,891,047,844
  5. Step 5: Solve for x
    x = 154,891,047,844/181,174
  6. Step 6: Final answer
    x = 854,929.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.