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Finding the Third Proportional to 254,428.50 and 381,675

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Solution

The third proportional to 254,428.50 and 381,675 is: 572,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,428.50 : 381,675 = 381,675 : x
  2. Step 2: Convert to fraction form
    254,428.50/381,675 = 381,675/x
  3. Step 3: Cross multiply
    254,428.50x = 381,675 × 381,675
  4. Step 4: Simplify right side
    254,428.50x = 145,675,805,625
  5. Step 5: Solve for x
    x = 145,675,805,625/254,428.50
  6. Step 6: Final answer
    x = 572,560.88

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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.