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Finding the Third Proportional to 185,122.50 and 399,036

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Solution

The third proportional to 185,122.50 and 399,036 is: 860,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,122.50 : 399,036 = 399,036 : x
  2. Step 2: Convert to fraction form
    185,122.50/399,036 = 399,036/x
  3. Step 3: Cross multiply
    185,122.50x = 399,036 × 399,036
  4. Step 4: Simplify right side
    185,122.50x = 159,229,729,296
  5. Step 5: Solve for x
    x = 159,229,729,296/185,122.50
  6. Step 6: Final answer
    x = 860,131.69

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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.