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Finding the Third Proportional to 226,327 and 341,796

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Solution

The third proportional to 226,327 and 341,796 is: 516,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,327 : 341,796 = 341,796 : x
  2. Step 2: Convert to fraction form
    226,327/341,796 = 341,796/x
  3. Step 3: Cross multiply
    226,327x = 341,796 × 341,796
  4. Step 4: Simplify right side
    226,327x = 116,824,505,616
  5. Step 5: Solve for x
    x = 116,824,505,616/226,327
  6. Step 6: Final answer
    x = 516,175.74

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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.