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Finding the Third Proportional to 181,765.50 and 386,859

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Solution

The third proportional to 181,765.50 and 386,859 is: 823,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,765.50 : 386,859 = 386,859 : x
  2. Step 2: Convert to fraction form
    181,765.50/386,859 = 386,859/x
  3. Step 3: Cross multiply
    181,765.50x = 386,859 × 386,859
  4. Step 4: Simplify right side
    181,765.50x = 149,659,885,881
  5. Step 5: Solve for x
    x = 149,659,885,881/181,765.50
  6. Step 6: Final answer
    x = 823,367.94

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.