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Finding the Third Proportional to 179,654.25 and 299,405.25

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Solution

The third proportional to 179,654.25 and 299,405.25 is: 498,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,654.25 : 299,405.25 = 299,405.25 : x
  2. Step 2: Convert to fraction form
    179,654.25/299,405.25 = 299,405.25/x
  3. Step 3: Cross multiply
    179,654.25x = 299,405.25 × 299,405.25
  4. Step 4: Simplify right side
    179,654.25x = 89,643,503,727.56
  5. Step 5: Solve for x
    x = 89,643,503,727.56/179,654.25
  6. Step 6: Final answer
    x = 498,977.92

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.