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Finding the Third Proportional to 181,996 and 280,770

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Solution

The third proportional to 181,996 and 280,770 is: 433,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,996 : 280,770 = 280,770 : x
  2. Step 2: Convert to fraction form
    181,996/280,770 = 280,770/x
  3. Step 3: Cross multiply
    181,996x = 280,770 × 280,770
  4. Step 4: Simplify right side
    181,996x = 78,831,792,900
  5. Step 5: Solve for x
    x = 78,831,792,900/181,996
  6. Step 6: Final answer
    x = 433,151.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.