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Finding the Third Proportional to 85,426.50 and 199,593

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Solution

The third proportional to 85,426.50 and 199,593 is: 466,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,426.50 : 199,593 = 199,593 : x
  2. Step 2: Convert to fraction form
    85,426.50/199,593 = 199,593/x
  3. Step 3: Cross multiply
    85,426.50x = 199,593 × 199,593
  4. Step 4: Simplify right side
    85,426.50x = 39,837,365,649
  5. Step 5: Solve for x
    x = 39,837,365,649/85,426.50
  6. Step 6: Final answer
    x = 466,334.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.