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Finding the Third Proportional to 225,914.50 and 301,185.50

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Solution

The third proportional to 225,914.50 and 301,185.50 is: 401,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,914.50 : 301,185.50 = 301,185.50 : x
  2. Step 2: Convert to fraction form
    225,914.50/301,185.50 = 301,185.50/x
  3. Step 3: Cross multiply
    225,914.50x = 301,185.50 × 301,185.50
  4. Step 4: Simplify right side
    225,914.50x = 90,712,705,410.25
  5. Step 5: Solve for x
    x = 90,712,705,410.25/225,914.50
  6. Step 6: Final answer
    x = 401,535.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.