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Finding the Third Proportional to 204,049 and 306,075

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Solution

The third proportional to 204,049 and 306,075 is: 459,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,049 : 306,075 = 306,075 : x
  2. Step 2: Convert to fraction form
    204,049/306,075 = 306,075/x
  3. Step 3: Cross multiply
    204,049x = 306,075 × 306,075
  4. Step 4: Simplify right side
    204,049x = 93,681,905,625
  5. Step 5: Solve for x
    x = 93,681,905,625/204,049
  6. Step 6: Final answer
    x = 459,114.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.