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Finding the Third Proportional to 236,997 and 335,344

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Solution

The third proportional to 236,997 and 335,344 is: 474,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,997 : 335,344 = 335,344 : x
  2. Step 2: Convert to fraction form
    236,997/335,344 = 335,344/x
  3. Step 3: Cross multiply
    236,997x = 335,344 × 335,344
  4. Step 4: Simplify right side
    236,997x = 112,455,598,336
  5. Step 5: Solve for x
    x = 112,455,598,336/236,997
  6. Step 6: Final answer
    x = 474,502.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.