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Finding the Third Proportional to 127,766 and 277,904

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Solution

The third proportional to 127,766 and 277,904 is: 604,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,766 : 277,904 = 277,904 : x
  2. Step 2: Convert to fraction form
    127,766/277,904 = 277,904/x
  3. Step 3: Cross multiply
    127,766x = 277,904 × 277,904
  4. Step 4: Simplify right side
    127,766x = 77,230,633,216
  5. Step 5: Solve for x
    x = 77,230,633,216/127,766
  6. Step 6: Final answer
    x = 604,469.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.