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Finding the Third Proportional to 176,788.20 and 381,605.87

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Solution

The third proportional to 176,788.20 and 381,605.87 is: 823,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,788.20 : 381,605.87 = 381,605.87 : x
  2. Step 2: Convert to fraction form
    176,788.20/381,605.87 = 381,605.87/x
  3. Step 3: Cross multiply
    176,788.20x = 381,605.87 × 381,605.87
  4. Step 4: Simplify right side
    176,788.20x = 145,623,040,853.23
  5. Step 5: Solve for x
    x = 145,623,040,853.23/176,788.20
  6. Step 6: Final answer
    x = 823,714.73

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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.