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Finding the Third Proportional to 180,066.38 and 386,376.75

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Solution

The third proportional to 180,066.38 and 386,376.75 is: 829,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,066.38 : 386,376.75 = 386,376.75 : x
  2. Step 2: Convert to fraction form
    180,066.38/386,376.75 = 386,376.75/x
  3. Step 3: Cross multiply
    180,066.38x = 386,376.75 × 386,376.75
  4. Step 4: Simplify right side
    180,066.38x = 149,286,992,940.56
  5. Step 5: Solve for x
    x = 149,286,992,940.56/180,066.38
  6. Step 6: Final answer
    x = 829,066.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.