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Finding the Third Proportional to 174,245.50 and 377,995

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Solution

The third proportional to 174,245.50 and 377,995 is: 819,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,245.50 : 377,995 = 377,995 : x
  2. Step 2: Convert to fraction form
    174,245.50/377,995 = 377,995/x
  3. Step 3: Cross multiply
    174,245.50x = 377,995 × 377,995
  4. Step 4: Simplify right side
    174,245.50x = 142,880,220,025
  5. Step 5: Solve for x
    x = 142,880,220,025/174,245.50
  6. Step 6: Final answer
    x = 819,993.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.