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Finding the Third Proportional to 226,980 and 343,629

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Solution

The third proportional to 226,980 and 343,629 is: 520,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,980 : 343,629 = 343,629 : x
  2. Step 2: Convert to fraction form
    226,980/343,629 = 343,629/x
  3. Step 3: Cross multiply
    226,980x = 343,629 × 343,629
  4. Step 4: Simplify right side
    226,980x = 118,080,889,641
  5. Step 5: Solve for x
    x = 118,080,889,641/226,980
  6. Step 6: Final answer
    x = 520,225.97

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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.