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Finding the Third Proportional to 253,906.88 and 385,846.88

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Solution

The third proportional to 253,906.88 and 385,846.88 is: 586,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,906.88 : 385,846.88 = 385,846.88 : x
  2. Step 2: Convert to fraction form
    253,906.88/385,846.88 = 385,846.88/x
  3. Step 3: Cross multiply
    253,906.88x = 385,846.88 × 385,846.88
  4. Step 4: Simplify right side
    253,906.88x = 148,877,810,947.27
  5. Step 5: Solve for x
    x = 148,877,810,947.27/253,906.88
  6. Step 6: Final answer
    x = 586,348.09

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Why These Related Problems?

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