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Finding the Third Proportional to 174,231 and 381,663

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Solution

The third proportional to 174,231 and 381,663 is: 836,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,231 : 381,663 = 381,663 : x
  2. Step 2: Convert to fraction form
    174,231/381,663 = 381,663/x
  3. Step 3: Cross multiply
    174,231x = 381,663 × 381,663
  4. Step 4: Simplify right side
    174,231x = 145,666,645,569
  5. Step 5: Solve for x
    x = 145,666,645,569/174,231
  6. Step 6: Final answer
    x = 836,054.70

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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.