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Finding the Third Proportional to 174,211 and 381,638

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Solution

The third proportional to 174,211 and 381,638 is: 836,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,211 : 381,638 = 381,638 : x
  2. Step 2: Convert to fraction form
    174,211/381,638 = 381,638/x
  3. Step 3: Cross multiply
    174,211x = 381,638 × 381,638
  4. Step 4: Simplify right side
    174,211x = 145,647,563,044
  5. Step 5: Solve for x
    x = 145,647,563,044/174,211
  6. Step 6: Final answer
    x = 836,041.14

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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.