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Finding the Third Proportional to 231,738 and 368,756

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Solution

The third proportional to 231,738 and 368,756 is: 586,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,738 : 368,756 = 368,756 : x
  2. Step 2: Convert to fraction form
    231,738/368,756 = 368,756/x
  3. Step 3: Cross multiply
    231,738x = 368,756 × 368,756
  4. Step 4: Simplify right side
    231,738x = 135,980,987,536
  5. Step 5: Solve for x
    x = 135,980,987,536/231,738
  6. Step 6: Final answer
    x = 586,787.61

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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.