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Finding the Third Proportional to 229,135.50 and 503,408.25

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Solution

The third proportional to 229,135.50 and 503,408.25 is: 1,105,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,135.50 : 503,408.25 = 503,408.25 : x
  2. Step 2: Convert to fraction form
    229,135.50/503,408.25 = 503,408.25/x
  3. Step 3: Cross multiply
    229,135.50x = 503,408.25 × 503,408.25
  4. Step 4: Simplify right side
    229,135.50x = 253,419,866,168.06
  5. Step 5: Solve for x
    x = 253,419,866,168.06/229,135.50
  6. Step 6: Final answer
    x = 1,105,982.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.