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Finding the Third Proportional to 174,336 and 381,837

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Solution

The third proportional to 174,336 and 381,837 is: 836,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,336 : 381,837 = 381,837 : x
  2. Step 2: Convert to fraction form
    174,336/381,837 = 381,837/x
  3. Step 3: Cross multiply
    174,336x = 381,837 × 381,837
  4. Step 4: Simplify right side
    174,336x = 145,799,494,569
  5. Step 5: Solve for x
    x = 145,799,494,569/174,336
  6. Step 6: Final answer
    x = 836,313.18

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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.