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Finding the Third Proportional to 176,766 and 381,543

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Solution

The third proportional to 176,766 and 381,543 is: 823,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,766 : 381,543 = 381,543 : x
  2. Step 2: Convert to fraction form
    176,766/381,543 = 381,543/x
  3. Step 3: Cross multiply
    176,766x = 381,543 × 381,543
  4. Step 4: Simplify right side
    176,766x = 145,575,060,849
  5. Step 5: Solve for x
    x = 145,575,060,849/176,766
  6. Step 6: Final answer
    x = 823,546.73

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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.