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Finding the Third Proportional to 225,845.72 and 301,092.19

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Solution

The third proportional to 225,845.72 and 301,092.19 is: 401,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,845.72 : 301,092.19 = 301,092.19 : x
  2. Step 2: Convert to fraction form
    225,845.72/301,092.19 = 301,092.19/x
  3. Step 3: Cross multiply
    225,845.72x = 301,092.19 × 301,092.19
  4. Step 4: Simplify right side
    225,845.72x = 90,656,505,373.54
  5. Step 5: Solve for x
    x = 90,656,505,373.54/225,845.72
  6. Step 6: Final answer
    x = 401,409.01

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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.