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Finding the Third Proportional to 190,371.25 and 285,593

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Solution

The third proportional to 190,371.25 and 285,593 is: 428,443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,371.25 : 285,593 = 285,593 : x
  2. Step 2: Convert to fraction form
    190,371.25/285,593 = 285,593/x
  3. Step 3: Cross multiply
    190,371.25x = 285,593 × 285,593
  4. Step 4: Simplify right side
    190,371.25x = 81,563,361,649
  5. Step 5: Solve for x
    x = 81,563,361,649/190,371.25
  6. Step 6: Final answer
    x = 428,443.69

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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.