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Finding the Third Proportional to 181,996 and 393,583

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Solution

The third proportional to 181,996 and 393,583 is: 851,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,996 : 393,583 = 393,583 : x
  2. Step 2: Convert to fraction form
    181,996/393,583 = 393,583/x
  3. Step 3: Cross multiply
    181,996x = 393,583 × 393,583
  4. Step 4: Simplify right side
    181,996x = 154,907,577,889
  5. Step 5: Solve for x
    x = 154,907,577,889/181,996
  6. Step 6: Final answer
    x = 851,159.24

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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.