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Finding the Third Proportional to 174,228 and 381,656

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Solution

The third proportional to 174,228 and 381,656 is: 836,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,228 : 381,656 = 381,656 : x
  2. Step 2: Convert to fraction form
    174,228/381,656 = 381,656/x
  3. Step 3: Cross multiply
    174,228x = 381,656 × 381,656
  4. Step 4: Simplify right side
    174,228x = 145,661,302,336
  5. Step 5: Solve for x
    x = 145,661,302,336/174,228
  6. Step 6: Final answer
    x = 836,038.42

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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.