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Finding the Third Proportional to 176,863.42 and 381,735.68

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Solution

The third proportional to 176,863.42 and 381,735.68 is: 823,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,863.42 : 381,735.68 = 381,735.68 : x
  2. Step 2: Convert to fraction form
    176,863.42/381,735.68 = 381,735.68/x
  3. Step 3: Cross multiply
    176,863.42x = 381,735.68 × 381,735.68
  4. Step 4: Simplify right side
    176,863.42x = 145,722,126,909.74
  5. Step 5: Solve for x
    x = 145,722,126,909.74/176,863.42
  6. Step 6: Final answer
    x = 823,924.62

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