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Finding the Third Proportional to 171,022.50 and 374,880

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Solution

The third proportional to 171,022.50 and 374,880 is: 821,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,022.50 : 374,880 = 374,880 : x
  2. Step 2: Convert to fraction form
    171,022.50/374,880 = 374,880/x
  3. Step 3: Cross multiply
    171,022.50x = 374,880 × 374,880
  4. Step 4: Simplify right side
    171,022.50x = 140,535,014,400
  5. Step 5: Solve for x
    x = 140,535,014,400/171,022.50
  6. Step 6: Final answer
    x = 821,734.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.