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Finding the Third Proportional to 181,944 and 394,968

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Solution

The third proportional to 181,944 and 394,968 is: 857,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,944 : 394,968 = 394,968 : x
  2. Step 2: Convert to fraction form
    181,944/394,968 = 394,968/x
  3. Step 3: Cross multiply
    181,944x = 394,968 × 394,968
  4. Step 4: Simplify right side
    181,944x = 155,999,721,024
  5. Step 5: Solve for x
    x = 155,999,721,024/181,944
  6. Step 6: Final answer
    x = 857,405.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.