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Finding the Third Proportional to 159,966 and 244,044

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Solution

The third proportional to 159,966 and 244,044 is: 372,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,966 : 244,044 = 244,044 : x
  2. Step 2: Convert to fraction form
    159,966/244,044 = 244,044/x
  3. Step 3: Cross multiply
    159,966x = 244,044 × 244,044
  4. Step 4: Simplify right side
    159,966x = 59,557,473,936
  5. Step 5: Solve for x
    x = 59,557,473,936/159,966
  6. Step 6: Final answer
    x = 372,313.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.