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Finding the Third Proportional to 176,472 and 381,132

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Solution

The third proportional to 176,472 and 381,132 is: 823,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,472 : 381,132 = 381,132 : x
  2. Step 2: Convert to fraction form
    176,472/381,132 = 381,132/x
  3. Step 3: Cross multiply
    176,472x = 381,132 × 381,132
  4. Step 4: Simplify right side
    176,472x = 145,261,601,424
  5. Step 5: Solve for x
    x = 145,261,601,424/176,472
  6. Step 6: Final answer
    x = 823,142.49

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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.