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Finding the Third Proportional to 119,969 and 277,734

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Solution

The third proportional to 119,969 and 277,734 is: 642,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,969 : 277,734 = 277,734 : x
  2. Step 2: Convert to fraction form
    119,969/277,734 = 277,734/x
  3. Step 3: Cross multiply
    119,969x = 277,734 × 277,734
  4. Step 4: Simplify right side
    119,969x = 77,136,174,756
  5. Step 5: Solve for x
    x = 77,136,174,756/119,969
  6. Step 6: Final answer
    x = 642,967.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.