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Finding the Third Proportional to 183,230.25 and 280,295.25

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Solution

The third proportional to 183,230.25 and 280,295.25 is: 428,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,230.25 : 280,295.25 = 280,295.25 : x
  2. Step 2: Convert to fraction form
    183,230.25/280,295.25 = 280,295.25/x
  3. Step 3: Cross multiply
    183,230.25x = 280,295.25 × 280,295.25
  4. Step 4: Simplify right side
    183,230.25x = 78,565,427,172.56
  5. Step 5: Solve for x
    x = 78,565,427,172.56/183,230.25
  6. Step 6: Final answer
    x = 428,779.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.