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Finding the Third Proportional to 127,788 and 277,296

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Solution

The third proportional to 127,788 and 277,296 is: 601,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,788 : 277,296 = 277,296 : x
  2. Step 2: Convert to fraction form
    127,788/277,296 = 277,296/x
  3. Step 3: Cross multiply
    127,788x = 277,296 × 277,296
  4. Step 4: Simplify right side
    127,788x = 76,893,071,616
  5. Step 5: Solve for x
    x = 76,893,071,616/127,788
  6. Step 6: Final answer
    x = 601,723.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.