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Finding the Third Proportional to 164,022.75 and 353,193.75

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Solution

The third proportional to 164,022.75 and 353,193.75 is: 760,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,022.75 : 353,193.75 = 353,193.75 : x
  2. Step 2: Convert to fraction form
    164,022.75/353,193.75 = 353,193.75/x
  3. Step 3: Cross multiply
    164,022.75x = 353,193.75 × 353,193.75
  4. Step 4: Simplify right side
    164,022.75x = 124,745,825,039.06
  5. Step 5: Solve for x
    x = 124,745,825,039.06/164,022.75
  6. Step 6: Final answer
    x = 760,539.77

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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.