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Finding the Third Proportional to 174,214 and 381,642

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Solution

The third proportional to 174,214 and 381,642 is: 836,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,214 : 381,642 = 381,642 : x
  2. Step 2: Convert to fraction form
    174,214/381,642 = 381,642/x
  3. Step 3: Cross multiply
    174,214x = 381,642 × 381,642
  4. Step 4: Simplify right side
    174,214x = 145,650,616,164
  5. Step 5: Solve for x
    x = 145,650,616,164/174,214
  6. Step 6: Final answer
    x = 836,044.27

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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.