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Finding the Third Proportional to 176,808 and 381,651

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Solution

The third proportional to 176,808 and 381,651 is: 823,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,808 : 381,651 = 381,651 : x
  2. Step 2: Convert to fraction form
    176,808/381,651 = 381,651/x
  3. Step 3: Cross multiply
    176,808x = 381,651 × 381,651
  4. Step 4: Simplify right side
    176,808x = 145,657,485,801
  5. Step 5: Solve for x
    x = 145,657,485,801/176,808
  6. Step 6: Final answer
    x = 823,817.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.