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Finding the Third Proportional to 174,940.50 and 381,534

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Solution

The third proportional to 174,940.50 and 381,534 is: 832,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,940.50 : 381,534 = 381,534 : x
  2. Step 2: Convert to fraction form
    174,940.50/381,534 = 381,534/x
  3. Step 3: Cross multiply
    174,940.50x = 381,534 × 381,534
  4. Step 4: Simplify right side
    174,940.50x = 145,568,193,156
  5. Step 5: Solve for x
    x = 145,568,193,156/174,940.50
  6. Step 6: Final answer
    x = 832,101.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.