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Finding the Third Proportional to 226,997 and 343,652

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Solution

The third proportional to 226,997 and 343,652 is: 520,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,997 : 343,652 = 343,652 : x
  2. Step 2: Convert to fraction form
    226,997/343,652 = 343,652/x
  3. Step 3: Cross multiply
    226,997x = 343,652 × 343,652
  4. Step 4: Simplify right side
    226,997x = 118,096,697,104
  5. Step 5: Solve for x
    x = 118,096,697,104/226,997
  6. Step 6: Final answer
    x = 520,256.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.