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Finding the Third Proportional to 158,447.81 and 327,965.63

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Solution

The third proportional to 158,447.81 and 327,965.63 is: 678,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,447.81 : 327,965.63 = 327,965.63 : x
  2. Step 2: Convert to fraction form
    158,447.81/327,965.63 = 327,965.63/x
  3. Step 3: Cross multiply
    158,447.81x = 327,965.63 × 327,965.63
  4. Step 4: Simplify right side
    158,447.81x = 107,561,451,181.64
  5. Step 5: Solve for x
    x = 107,561,451,181.64/158,447.81
  6. Step 6: Final answer
    x = 678,844.66

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.