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Finding the Third Proportional to 278,185.25 and 433,529

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Solution

The third proportional to 278,185.25 and 433,529 is: 675,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,185.25 : 433,529 = 433,529 : x
  2. Step 2: Convert to fraction form
    278,185.25/433,529 = 433,529/x
  3. Step 3: Cross multiply
    278,185.25x = 433,529 × 433,529
  4. Step 4: Simplify right side
    278,185.25x = 187,947,393,841
  5. Step 5: Solve for x
    x = 187,947,393,841/278,185.25
  6. Step 6: Final answer
    x = 675,619.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.