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Finding the Third Proportional to 174,856.50 and 377,625

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Solution

The third proportional to 174,856.50 and 377,625 is: 815,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,856.50 : 377,625 = 377,625 : x
  2. Step 2: Convert to fraction form
    174,856.50/377,625 = 377,625/x
  3. Step 3: Cross multiply
    174,856.50x = 377,625 × 377,625
  4. Step 4: Simplify right side
    174,856.50x = 142,600,640,625
  5. Step 5: Solve for x
    x = 142,600,640,625/174,856.50
  6. Step 6: Final answer
    x = 815,529.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.