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Finding the Third Proportional to 164,193.75 and 353,716.88

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Solution

The third proportional to 164,193.75 and 353,716.88 is: 761,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,193.75 : 353,716.88 = 353,716.88 : x
  2. Step 2: Convert to fraction form
    164,193.75/353,716.88 = 353,716.88/x
  3. Step 3: Cross multiply
    164,193.75x = 353,716.88 × 353,716.88
  4. Step 4: Simplify right side
    164,193.75x = 125,115,627,659.77
  5. Step 5: Solve for x
    x = 125,115,627,659.77/164,193.75
  6. Step 6: Final answer
    x = 761,999.94

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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.