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Finding the Third Proportional to 160,241 and 232,099

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Solution

The third proportional to 160,241 and 232,099 is: 336,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,241 : 232,099 = 232,099 : x
  2. Step 2: Convert to fraction form
    160,241/232,099 = 232,099/x
  3. Step 3: Cross multiply
    160,241x = 232,099 × 232,099
  4. Step 4: Simplify right side
    160,241x = 53,869,945,801
  5. Step 5: Solve for x
    x = 53,869,945,801/160,241
  6. Step 6: Final answer
    x = 336,180.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.