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Finding the Third Proportional to 183,231.50 and 280,296.50

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Solution

The third proportional to 183,231.50 and 280,296.50 is: 428,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,231.50 : 280,296.50 = 280,296.50 : x
  2. Step 2: Convert to fraction form
    183,231.50/280,296.50 = 280,296.50/x
  3. Step 3: Cross multiply
    183,231.50x = 280,296.50 × 280,296.50
  4. Step 4: Simplify right side
    183,231.50x = 78,566,127,912.25
  5. Step 5: Solve for x
    x = 78,566,127,912.25/183,231.50
  6. Step 6: Final answer
    x = 428,780.68

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Why These Related Problems?

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