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Finding the Third Proportional to 225,409.50 and 337,412.25

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Solution

The third proportional to 225,409.50 and 337,412.25 is: 505,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,409.50 : 337,412.25 = 337,412.25 : x
  2. Step 2: Convert to fraction form
    225,409.50/337,412.25 = 337,412.25/x
  3. Step 3: Cross multiply
    225,409.50x = 337,412.25 × 337,412.25
  4. Step 4: Simplify right side
    225,409.50x = 113,847,026,450.06
  5. Step 5: Solve for x
    x = 113,847,026,450.06/225,409.50
  6. Step 6: Final answer
    x = 505,067.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.