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Finding the Third Proportional to 159,770 and 244,503

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Solution

The third proportional to 159,770 and 244,503 is: 374,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,770 : 244,503 = 244,503 : x
  2. Step 2: Convert to fraction form
    159,770/244,503 = 244,503/x
  3. Step 3: Cross multiply
    159,770x = 244,503 × 244,503
  4. Step 4: Simplify right side
    159,770x = 59,781,717,009
  5. Step 5: Solve for x
    x = 59,781,717,009/159,770
  6. Step 6: Final answer
    x = 374,173.61

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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.