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Finding the Third Proportional to 164,544.75 and 349,849.13

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Solution

The third proportional to 164,544.75 and 349,849.13 is: 743,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,544.75 : 349,849.13 = 349,849.13 : x
  2. Step 2: Convert to fraction form
    164,544.75/349,849.13 = 349,849.13/x
  3. Step 3: Cross multiply
    164,544.75x = 349,849.13 × 349,849.13
  4. Step 4: Simplify right side
    164,544.75x = 122,394,410,263.27
  5. Step 5: Solve for x
    x = 122,394,410,263.27/164,544.75
  6. Step 6: Final answer
    x = 743,836.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.