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Finding the Third Proportional to 226,982.25 and 342,173.25

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Solution

The third proportional to 226,982.25 and 342,173.25 is: 515,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,982.25 : 342,173.25 = 342,173.25 : x
  2. Step 2: Convert to fraction form
    226,982.25/342,173.25 = 342,173.25/x
  3. Step 3: Cross multiply
    226,982.25x = 342,173.25 × 342,173.25
  4. Step 4: Simplify right side
    226,982.25x = 117,082,533,015.56
  5. Step 5: Solve for x
    x = 117,082,533,015.56/226,982.25
  6. Step 6: Final answer
    x = 515,822.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.