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Finding the Third Proportional to 174,969 and 381,604

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Solution

The third proportional to 174,969 and 381,604 is: 832,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,969 : 381,604 = 381,604 : x
  2. Step 2: Convert to fraction form
    174,969/381,604 = 381,604/x
  3. Step 3: Cross multiply
    174,969x = 381,604 × 381,604
  4. Step 4: Simplify right side
    174,969x = 145,621,612,816
  5. Step 5: Solve for x
    x = 145,621,612,816/174,969
  6. Step 6: Final answer
    x = 832,270.93

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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.