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Finding the Third Proportional to 164,232.56 and 353,782.69

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Solution

The third proportional to 164,232.56 and 353,782.69 is: 762,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,232.56 : 353,782.69 = 353,782.69 : x
  2. Step 2: Convert to fraction form
    164,232.56/353,782.69 = 353,782.69/x
  3. Step 3: Cross multiply
    164,232.56x = 353,782.69 × 353,782.69
  4. Step 4: Simplify right side
    164,232.56x = 125,162,189,974.72
  5. Step 5: Solve for x
    x = 125,162,189,974.72/164,232.56
  6. Step 6: Final answer
    x = 762,103.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.