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Finding the Third Proportional to 225,147.75 and 342,366

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Solution

The third proportional to 225,147.75 and 342,366 is: 520,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,147.75 : 342,366 = 342,366 : x
  2. Step 2: Convert to fraction form
    225,147.75/342,366 = 342,366/x
  3. Step 3: Cross multiply
    225,147.75x = 342,366 × 342,366
  4. Step 4: Simplify right side
    225,147.75x = 117,214,477,956
  5. Step 5: Solve for x
    x = 117,214,477,956/225,147.75
  6. Step 6: Final answer
    x = 520,611.37

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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.