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Finding the Third Proportional to 174,940 and 381,533

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Solution

The third proportional to 174,940 and 381,533 is: 832,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,940 : 381,533 = 381,533 : x
  2. Step 2: Convert to fraction form
    174,940/381,533 = 381,533/x
  3. Step 3: Cross multiply
    174,940x = 381,533 × 381,533
  4. Step 4: Simplify right side
    174,940x = 145,567,430,089
  5. Step 5: Solve for x
    x = 145,567,430,089/174,940
  6. Step 6: Final answer
    x = 832,099.18

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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.