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Finding the Third Proportional to 185,815.50 and 280,464.75

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Solution

The third proportional to 185,815.50 and 280,464.75 is: 423,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,815.50 : 280,464.75 = 280,464.75 : x
  2. Step 2: Convert to fraction form
    185,815.50/280,464.75 = 280,464.75/x
  3. Step 3: Cross multiply
    185,815.50x = 280,464.75 × 280,464.75
  4. Step 4: Simplify right side
    185,815.50x = 78,660,475,992.56
  5. Step 5: Solve for x
    x = 78,660,475,992.56/185,815.50
  6. Step 6: Final answer
    x = 423,325.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.