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Finding the Third Proportional to 165,805.73 and 355,269.80

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Solution

The third proportional to 165,805.73 and 355,269.80 is: 761,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,805.73 : 355,269.80 = 355,269.80 : x
  2. Step 2: Convert to fraction form
    165,805.73/355,269.80 = 355,269.80/x
  3. Step 3: Cross multiply
    165,805.73x = 355,269.80 × 355,269.80
  4. Step 4: Simplify right side
    165,805.73x = 126,216,628,571.60
  5. Step 5: Solve for x
    x = 126,216,628,571.60/165,805.73
  6. Step 6: Final answer
    x = 761,231.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.