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Finding the Third Proportional to 169,765.88 and 359,769.09

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Solution

The third proportional to 169,765.88 and 359,769.09 is: 762,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,765.88 : 359,769.09 = 359,769.09 : x
  2. Step 2: Convert to fraction form
    169,765.88/359,769.09 = 359,769.09/x
  3. Step 3: Cross multiply
    169,765.88x = 359,769.09 × 359,769.09
  4. Step 4: Simplify right side
    169,765.88x = 129,433,800,817.70
  5. Step 5: Solve for x
    x = 129,433,800,817.70/169,765.88
  6. Step 6: Final answer
    x = 762,425.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.