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Finding the Third Proportional to 251,295.75 and 382,866.75

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Solution

The third proportional to 251,295.75 and 382,866.75 is: 583,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,295.75 : 382,866.75 = 382,866.75 : x
  2. Step 2: Convert to fraction form
    251,295.75/382,866.75 = 382,866.75/x
  3. Step 3: Cross multiply
    251,295.75x = 382,866.75 × 382,866.75
  4. Step 4: Simplify right side
    251,295.75x = 146,586,948,255.56
  5. Step 5: Solve for x
    x = 146,586,948,255.56/251,295.75
  6. Step 6: Final answer
    x = 583,324.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.