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Finding the Third Proportional to 174,212 and 381,636

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Solution

The third proportional to 174,212 and 381,636 is: 836,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,212 : 381,636 = 381,636 : x
  2. Step 2: Convert to fraction form
    174,212/381,636 = 381,636/x
  3. Step 3: Cross multiply
    174,212x = 381,636 × 381,636
  4. Step 4: Simplify right side
    174,212x = 145,646,036,496
  5. Step 5: Solve for x
    x = 145,646,036,496/174,212
  6. Step 6: Final answer
    x = 836,027.58

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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.