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Finding the Third Proportional to 231,869 and 368,843

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Solution

The third proportional to 231,869 and 368,843 is: 586,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,869 : 368,843 = 368,843 : x
  2. Step 2: Convert to fraction form
    231,869/368,843 = 368,843/x
  3. Step 3: Cross multiply
    231,869x = 368,843 × 368,843
  4. Step 4: Simplify right side
    231,869x = 136,045,158,649
  5. Step 5: Solve for x
    x = 136,045,158,649/231,869
  6. Step 6: Final answer
    x = 586,732.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.