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Finding the Third Proportional to 127,362 and 276,834

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Solution

The third proportional to 127,362 and 276,834 is: 601,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,362 : 276,834 = 276,834 : x
  2. Step 2: Convert to fraction form
    127,362/276,834 = 276,834/x
  3. Step 3: Cross multiply
    127,362x = 276,834 × 276,834
  4. Step 4: Simplify right side
    127,362x = 76,637,063,556
  5. Step 5: Solve for x
    x = 76,637,063,556/127,362
  6. Step 6: Final answer
    x = 601,726.29

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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.