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Finding the Third Proportional to 182,199.75 and 399,499.50

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Solution

The third proportional to 182,199.75 and 399,499.50 is: 875,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,199.75 : 399,499.50 = 399,499.50 : x
  2. Step 2: Convert to fraction form
    182,199.75/399,499.50 = 399,499.50/x
  3. Step 3: Cross multiply
    182,199.75x = 399,499.50 × 399,499.50
  4. Step 4: Simplify right side
    182,199.75x = 159,599,850,500.25
  5. Step 5: Solve for x
    x = 159,599,850,500.25/182,199.75
  6. Step 6: Final answer
    x = 875,960.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.