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Finding the Third Proportional to 181,982 and 393,772

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Solution

The third proportional to 181,982 and 393,772 is: 852,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,982 : 393,772 = 393,772 : x
  2. Step 2: Convert to fraction form
    181,982/393,772 = 393,772/x
  3. Step 3: Cross multiply
    181,982x = 393,772 × 393,772
  4. Step 4: Simplify right side
    181,982x = 155,056,387,984
  5. Step 5: Solve for x
    x = 155,056,387,984/181,982
  6. Step 6: Final answer
    x = 852,042.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.