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Finding the Third Proportional to 171,158.06 and 365,213.81

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Solution

The third proportional to 171,158.06 and 365,213.81 is: 779,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,158.06 : 365,213.81 = 365,213.81 : x
  2. Step 2: Convert to fraction form
    171,158.06/365,213.81 = 365,213.81/x
  3. Step 3: Cross multiply
    171,158.06x = 365,213.81 × 365,213.81
  4. Step 4: Simplify right side
    171,158.06x = 133,381,128,840.79
  5. Step 5: Solve for x
    x = 133,381,128,840.79/171,158.06
  6. Step 6: Final answer
    x = 779,286.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.