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Finding the Third Proportional to 185,226.75 and 399,309.75

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Solution

The third proportional to 185,226.75 and 399,309.75 is: 860,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,226.75 : 399,309.75 = 399,309.75 : x
  2. Step 2: Convert to fraction form
    185,226.75/399,309.75 = 399,309.75/x
  3. Step 3: Cross multiply
    185,226.75x = 399,309.75 × 399,309.75
  4. Step 4: Simplify right side
    185,226.75x = 159,448,276,445.06
  5. Step 5: Solve for x
    x = 159,448,276,445.06/185,226.75
  6. Step 6: Final answer
    x = 860,827.48

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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.