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Finding the Third Proportional to 181,385 and 393,834

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Solution

The third proportional to 181,385 and 393,834 is: 855,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,385 : 393,834 = 393,834 : x
  2. Step 2: Convert to fraction form
    181,385/393,834 = 393,834/x
  3. Step 3: Cross multiply
    181,385x = 393,834 × 393,834
  4. Step 4: Simplify right side
    181,385x = 155,105,219,556
  5. Step 5: Solve for x
    x = 155,105,219,556/181,385
  6. Step 6: Final answer
    x = 855,116.02

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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.