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Finding the Third Proportional to 181,848 and 244,614

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Solution

The third proportional to 181,848 and 244,614 is: 329,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,848 : 244,614 = 244,614 : x
  2. Step 2: Convert to fraction form
    181,848/244,614 = 244,614/x
  3. Step 3: Cross multiply
    181,848x = 244,614 × 244,614
  4. Step 4: Simplify right side
    181,848x = 59,836,008,996
  5. Step 5: Solve for x
    x = 59,836,008,996/181,848
  6. Step 6: Final answer
    x = 329,044.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.