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Finding the Third Proportional to 227,223.56 and 345,557.39

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Solution

The third proportional to 227,223.56 and 345,557.39 is: 525,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,223.56 : 345,557.39 = 345,557.39 : x
  2. Step 2: Convert to fraction form
    227,223.56/345,557.39 = 345,557.39/x
  3. Step 3: Cross multiply
    227,223.56x = 345,557.39 × 345,557.39
  4. Step 4: Simplify right side
    227,223.56x = 119,409,910,215.56
  5. Step 5: Solve for x
    x = 119,409,910,215.56/227,223.56
  6. Step 6: Final answer
    x = 525,517.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.