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Finding the Third Proportional to 183,996 and 397,008

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Solution

The third proportional to 183,996 and 397,008 is: 856,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,996 : 397,008 = 397,008 : x
  2. Step 2: Convert to fraction form
    183,996/397,008 = 397,008/x
  3. Step 3: Cross multiply
    183,996x = 397,008 × 397,008
  4. Step 4: Simplify right side
    183,996x = 157,615,352,064
  5. Step 5: Solve for x
    x = 157,615,352,064/183,996
  6. Step 6: Final answer
    x = 856,623.80

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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.