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Finding the Third Proportional to 180,978 and 385,992

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Solution

The third proportional to 180,978 and 385,992 is: 823,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,978 : 385,992 = 385,992 : x
  2. Step 2: Convert to fraction form
    180,978/385,992 = 385,992/x
  3. Step 3: Cross multiply
    180,978x = 385,992 × 385,992
  4. Step 4: Simplify right side
    180,978x = 148,989,824,064
  5. Step 5: Solve for x
    x = 148,989,824,064/180,978
  6. Step 6: Final answer
    x = 823,248.26

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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.